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Finding the Fourth Proportional to 537.20, 801.27 and 490.04

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Solution

The fourth proportional to 537.20, 801.27 and 490.04 is: 730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.20 : 801.27 = 490.04 : x
  2. Step 2: Convert to fraction form
    537.20/801.27 = 490.04/x
  3. Step 3: Cross multiply
    537.20x = 801.27 × 490.04
  4. Step 4: Simplify right side
    537.20x = 392,654.35
  5. Step 5: Solve for x
    x = 392,654.35/537.20
  6. Step 6: Final answer
    x = 730.93

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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.