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Finding the Fourth Proportional to 616.59, 924.66 and 514.53

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Solution

The fourth proportional to 616.59, 924.66 and 514.53 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.59 : 924.66 = 514.53 : x
  2. Step 2: Convert to fraction form
    616.59/924.66 = 514.53/x
  3. Step 3: Cross multiply
    616.59x = 924.66 × 514.53
  4. Step 4: Simplify right side
    616.59x = 475,765.31
  5. Step 5: Solve for x
    x = 475,765.31/616.59
  6. Step 6: Final answer
    x = 771.61

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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.