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Finding the Fourth Proportional to 616.16, 927.68 and 425.04

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Solution

The fourth proportional to 616.16, 927.68 and 425.04 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 927.68 = 425.04 : x
  2. Step 2: Convert to fraction form
    616.16/927.68 = 425.04/x
  3. Step 3: Cross multiply
    616.16x = 927.68 × 425.04
  4. Step 4: Simplify right side
    616.16x = 394,301.11
  5. Step 5: Solve for x
    x = 394,301.11/616.16
  6. Step 6: Final answer
    x = 639.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.