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Finding the Fourth Proportional to 731.27, 1,008.38 and 469.24

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Solution

The fourth proportional to 731.27, 1,008.38 and 469.24 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.27 : 1,008.38 = 469.24 : x
  2. Step 2: Convert to fraction form
    731.27/1,008.38 = 469.24/x
  3. Step 3: Cross multiply
    731.27x = 1,008.38 × 469.24
  4. Step 4: Simplify right side
    731.27x = 473,164.84
  5. Step 5: Solve for x
    x = 473,164.84/731.27
  6. Step 6: Final answer
    x = 647.05

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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.