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Finding the Fourth Proportional to 534.32, 800.22 and 426.20

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Solution

The fourth proportional to 534.32, 800.22 and 426.20 is: 638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.32 : 800.22 = 426.20 : x
  2. Step 2: Convert to fraction form
    534.32/800.22 = 426.20/x
  3. Step 3: Cross multiply
    534.32x = 800.22 × 426.20
  4. Step 4: Simplify right side
    534.32x = 341,053.76
  5. Step 5: Solve for x
    x = 341,053.76/534.32
  6. Step 6: Final answer
    x = 638.29

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