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Finding the Fourth Proportional to 616.68, 925.48 and 454.80

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Solution

The fourth proportional to 616.68, 925.48 and 454.80 is: 682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.68 : 925.48 = 454.80 : x
  2. Step 2: Convert to fraction form
    616.68/925.48 = 454.80/x
  3. Step 3: Cross multiply
    616.68x = 925.48 × 454.80
  4. Step 4: Simplify right side
    616.68x = 420,908.30
  5. Step 5: Solve for x
    x = 420,908.30/616.68
  6. Step 6: Final answer
    x = 682.54

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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.