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Finding the Fourth Proportional to 525.38, 724.97 and 304.31

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Solution

The fourth proportional to 525.38, 724.97 and 304.31 is: 419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.38 : 724.97 = 304.31 : x
  2. Step 2: Convert to fraction form
    525.38/724.97 = 304.31/x
  3. Step 3: Cross multiply
    525.38x = 724.97 × 304.31
  4. Step 4: Simplify right side
    525.38x = 220,610.47
  5. Step 5: Solve for x
    x = 220,610.47/525.38
  6. Step 6: Final answer
    x = 419.90

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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.