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Finding the Fourth Proportional to 503.62, 754.31 and 426.29

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Solution

The fourth proportional to 503.62, 754.31 and 426.29 is: 638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.62 : 754.31 = 426.29 : x
  2. Step 2: Convert to fraction form
    503.62/754.31 = 426.29/x
  3. Step 3: Cross multiply
    503.62x = 754.31 × 426.29
  4. Step 4: Simplify right side
    503.62x = 321,552.10
  5. Step 5: Solve for x
    x = 321,552.10/503.62
  6. Step 6: Final answer
    x = 638.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.