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Finding the Fourth Proportional to 504.38, 752.95 and 487.28

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Solution

The fourth proportional to 504.38, 752.95 and 487.28 is: 727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.38 : 752.95 = 487.28 : x
  2. Step 2: Convert to fraction form
    504.38/752.95 = 487.28/x
  3. Step 3: Cross multiply
    504.38x = 752.95 × 487.28
  4. Step 4: Simplify right side
    504.38x = 366,897.48
  5. Step 5: Solve for x
    x = 366,897.48/504.38
  6. Step 6: Final answer
    x = 727.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.