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Finding the Fourth Proportional to 657.55, 907.61 and 461.11

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Solution

The fourth proportional to 657.55, 907.61 and 461.11 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.55 : 907.61 = 461.11 : x
  2. Step 2: Convert to fraction form
    657.55/907.61 = 461.11/x
  3. Step 3: Cross multiply
    657.55x = 907.61 × 461.11
  4. Step 4: Simplify right side
    657.55x = 418,505.74
  5. Step 5: Solve for x
    x = 418,505.74/657.55
  6. Step 6: Final answer
    x = 636.46

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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.