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Finding the Fourth Proportional to 537.52, 801.56 and 507.88

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Solution

The fourth proportional to 537.52, 801.56 and 507.88 is: 757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.52 : 801.56 = 507.88 : x
  2. Step 2: Convert to fraction form
    537.52/801.56 = 507.88/x
  3. Step 3: Cross multiply
    537.52x = 801.56 × 507.88
  4. Step 4: Simplify right side
    537.52x = 407,096.29
  5. Step 5: Solve for x
    x = 407,096.29/537.52
  6. Step 6: Final answer
    x = 757.36

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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.