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Finding the Fourth Proportional to 616.66, 925.71 and 342.88

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Solution

The fourth proportional to 616.66, 925.71 and 342.88 is: 514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.66 : 925.71 = 342.88 : x
  2. Step 2: Convert to fraction form
    616.66/925.71 = 342.88/x
  3. Step 3: Cross multiply
    616.66x = 925.71 × 342.88
  4. Step 4: Simplify right side
    616.66x = 317,407.44
  5. Step 5: Solve for x
    x = 317,407.44/616.66
  6. Step 6: Final answer
    x = 514.72

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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.