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Finding the Fourth Proportional to 1,323.74, 1,984.26 and 674.12

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Solution

The fourth proportional to 1,323.74, 1,984.26 and 674.12 is: 1,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.74 : 1,984.26 = 674.12 : x
  2. Step 2: Convert to fraction form
    1,323.74/1,984.26 = 674.12/x
  3. Step 3: Cross multiply
    1,323.74x = 1,984.26 × 674.12
  4. Step 4: Simplify right side
    1,323.74x = 1,337,629.35
  5. Step 5: Solve for x
    x = 1,337,629.35/1,323.74
  6. Step 6: Final answer
    x = 1,010.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,324.74, 1,985.76 and 675.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.