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Finding the Fourth Proportional to 657.60, 906.63 and 461.39

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Solution

The fourth proportional to 657.60, 906.63 and 461.39 is: 636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 906.63 = 461.39 : x
  2. Step 2: Convert to fraction form
    657.60/906.63 = 461.39/x
  3. Step 3: Cross multiply
    657.60x = 906.63 × 461.39
  4. Step 4: Simplify right side
    657.60x = 418,305.48
  5. Step 5: Solve for x
    x = 418,305.48/657.60
  6. Step 6: Final answer
    x = 636.11

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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.