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Finding the Fourth Proportional to 475.08, 708.17 and 422.76

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Solution

The fourth proportional to 475.08, 708.17 and 422.76 is: 630.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.08 : 708.17 = 422.76 : x
  2. Step 2: Convert to fraction form
    475.08/708.17 = 422.76/x
  3. Step 3: Cross multiply
    475.08x = 708.17 × 422.76
  4. Step 4: Simplify right side
    475.08x = 299,385.95
  5. Step 5: Solve for x
    x = 299,385.95/475.08
  6. Step 6: Final answer
    x = 630.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.