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Finding the Fourth Proportional to 534.71, 802.20 and 425.43

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Solution

The fourth proportional to 534.71, 802.20 and 425.43 is: 638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 802.20 = 425.43 : x
  2. Step 2: Convert to fraction form
    534.71/802.20 = 425.43/x
  3. Step 3: Cross multiply
    534.71x = 802.20 × 425.43
  4. Step 4: Simplify right side
    534.71x = 341,279.95
  5. Step 5: Solve for x
    x = 341,279.95/534.71
  6. Step 6: Final answer
    x = 638.26

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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.