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Finding the Fourth Proportional to 614.88, 925.43 and 461.61

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Solution

The fourth proportional to 614.88, 925.43 and 461.61 is: 694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.88 : 925.43 = 461.61 : x
  2. Step 2: Convert to fraction form
    614.88/925.43 = 461.61/x
  3. Step 3: Cross multiply
    614.88x = 925.43 × 461.61
  4. Step 4: Simplify right side
    614.88x = 427,185.43
  5. Step 5: Solve for x
    x = 427,185.43/614.88
  6. Step 6: Final answer
    x = 694.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.