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Finding the Fourth Proportional to 642.74, 962.31 and 411.62

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Solution

The fourth proportional to 642.74, 962.31 and 411.62 is: 616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.74 : 962.31 = 411.62 : x
  2. Step 2: Convert to fraction form
    642.74/962.31 = 411.62/x
  3. Step 3: Cross multiply
    642.74x = 962.31 × 411.62
  4. Step 4: Simplify right side
    642.74x = 396,106.04
  5. Step 5: Solve for x
    x = 396,106.04/642.74
  6. Step 6: Final answer
    x = 616.28

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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.