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Finding the Fourth Proportional to 657.90, 908.06 and 461.70

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Solution

The fourth proportional to 657.90, 908.06 and 461.70 is: 637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.90 : 908.06 = 461.70 : x
  2. Step 2: Convert to fraction form
    657.90/908.06 = 461.70/x
  3. Step 3: Cross multiply
    657.90x = 908.06 × 461.70
  4. Step 4: Simplify right side
    657.90x = 419,248.99
  5. Step 5: Solve for x
    x = 419,248.99/657.90
  6. Step 6: Final answer
    x = 637.25

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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.