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Finding the Fourth Proportional to 616.70, 925.05 and 422.30

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Solution

The fourth proportional to 616.70, 925.05 and 422.30 is: 633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.70 : 925.05 = 422.30 : x
  2. Step 2: Convert to fraction form
    616.70/925.05 = 422.30/x
  3. Step 3: Cross multiply
    616.70x = 925.05 × 422.30
  4. Step 4: Simplify right side
    616.70x = 390,648.62
  5. Step 5: Solve for x
    x = 390,648.62/616.70
  6. Step 6: Final answer
    x = 633.45

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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.