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Finding the Fourth Proportional to 475.20, 710.64 and 463.32

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Solution

The fourth proportional to 475.20, 710.64 and 463.32 is: 692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.20 : 710.64 = 463.32 : x
  2. Step 2: Convert to fraction form
    475.20/710.64 = 463.32/x
  3. Step 3: Cross multiply
    475.20x = 710.64 × 463.32
  4. Step 4: Simplify right side
    475.20x = 329,253.72
  5. Step 5: Solve for x
    x = 329,253.72/475.20
  6. Step 6: Final answer
    x = 692.87

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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.