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Finding the Fourth Proportional to 475.60, 712.15 and 382.56

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Solution

The fourth proportional to 475.60, 712.15 and 382.56 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 712.15 = 382.56 : x
  2. Step 2: Convert to fraction form
    475.60/712.15 = 382.56/x
  3. Step 3: Cross multiply
    475.60x = 712.15 × 382.56
  4. Step 4: Simplify right side
    475.60x = 272,437.55
  5. Step 5: Solve for x
    x = 272,437.55/475.60
  6. Step 6: Final answer
    x = 572.83

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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.