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Finding the Fourth Proportional to 688.72, 1,032.11 and 411.19

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Solution

The fourth proportional to 688.72, 1,032.11 and 411.19 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.72 : 1,032.11 = 411.19 : x
  2. Step 2: Convert to fraction form
    688.72/1,032.11 = 411.19/x
  3. Step 3: Cross multiply
    688.72x = 1,032.11 × 411.19
  4. Step 4: Simplify right side
    688.72x = 424,391.25
  5. Step 5: Solve for x
    x = 424,391.25/688.72
  6. Step 6: Final answer
    x = 616.20

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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.