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Finding the Fourth Proportional to 475.49, 656.17 and 461.52

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Solution

The fourth proportional to 475.49, 656.17 and 461.52 is: 636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.49 : 656.17 = 461.52 : x
  2. Step 2: Convert to fraction form
    475.49/656.17 = 461.52/x
  3. Step 3: Cross multiply
    475.49x = 656.17 × 461.52
  4. Step 4: Simplify right side
    475.49x = 302,835.58
  5. Step 5: Solve for x
    x = 302,835.58/475.49
  6. Step 6: Final answer
    x = 636.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.