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Finding the Fourth Proportional to 616.89, 925.64 and 452.53

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Solution

The fourth proportional to 616.89, 925.64 and 452.53 is: 679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.89 : 925.64 = 452.53 : x
  2. Step 2: Convert to fraction form
    616.89/925.64 = 452.53/x
  3. Step 3: Cross multiply
    616.89x = 925.64 × 452.53
  4. Step 4: Simplify right side
    616.89x = 418,879.87
  5. Step 5: Solve for x
    x = 418,879.87/616.89
  6. Step 6: Final answer
    x = 679.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.