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Finding the Fourth Proportional to 616.50, 923.04 and 421.15

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Solution

The fourth proportional to 616.50, 923.04 and 421.15 is: 630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 923.04 = 421.15 : x
  2. Step 2: Convert to fraction form
    616.50/923.04 = 421.15/x
  3. Step 3: Cross multiply
    616.50x = 923.04 × 421.15
  4. Step 4: Simplify right side
    616.50x = 388,738.30
  5. Step 5: Solve for x
    x = 388,738.30/616.50
  6. Step 6: Final answer
    x = 630.56

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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.