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Finding the Fourth Proportional to 616.65, 925.13 and 507.14

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Solution

The fourth proportional to 616.65, 925.13 and 507.14 is: 760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.65 : 925.13 = 507.14 : x
  2. Step 2: Convert to fraction form
    616.65/925.13 = 507.14/x
  3. Step 3: Cross multiply
    616.65x = 925.13 × 507.14
  4. Step 4: Simplify right side
    616.65x = 469,170.43
  5. Step 5: Solve for x
    x = 469,170.43/616.65
  6. Step 6: Final answer
    x = 760.84

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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.