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Finding the Fourth Proportional to 534.06, 801.08 and 442.56

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Solution

The fourth proportional to 534.06, 801.08 and 442.56 is: 663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.06 : 801.08 = 442.56 : x
  2. Step 2: Convert to fraction form
    534.06/801.08 = 442.56/x
  3. Step 3: Cross multiply
    534.06x = 801.08 × 442.56
  4. Step 4: Simplify right side
    534.06x = 354,524.58
  5. Step 5: Solve for x
    x = 354,524.58/534.06
  6. Step 6: Final answer
    x = 663.83

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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.