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Finding the Fourth Proportional to 1,323.74, 1,987.44 and 674.93

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Solution

The fourth proportional to 1,323.74, 1,987.44 and 674.93 is: 1,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.74 : 1,987.44 = 674.93 : x
  2. Step 2: Convert to fraction form
    1,323.74/1,987.44 = 674.93/x
  3. Step 3: Cross multiply
    1,323.74x = 1,987.44 × 674.93
  4. Step 4: Simplify right side
    1,323.74x = 1,341,385.32
  5. Step 5: Solve for x
    x = 1,341,385.32/1,323.74
  6. Step 6: Final answer
    x = 1,013.33

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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.