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Finding the Fourth Proportional to 784.42, 1,085.61 and 674.26

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Solution

The fourth proportional to 784.42, 1,085.61 and 674.26 is: 933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,085.61 = 674.26 : x
  2. Step 2: Convert to fraction form
    784.42/1,085.61 = 674.26/x
  3. Step 3: Cross multiply
    784.42x = 1,085.61 × 674.26
  4. Step 4: Simplify right side
    784.42x = 731,983.40
  5. Step 5: Solve for x
    x = 731,983.40/784.42
  6. Step 6: Final answer
    x = 933.15

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.