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Finding the Fourth Proportional to 688.76, 1,032.98 and 411.20

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Solution

The fourth proportional to 688.76, 1,032.98 and 411.20 is: 616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.76 : 1,032.98 = 411.20 : x
  2. Step 2: Convert to fraction form
    688.76/1,032.98 = 411.20/x
  3. Step 3: Cross multiply
    688.76x = 1,032.98 × 411.20
  4. Step 4: Simplify right side
    688.76x = 424,756.21
  5. Step 5: Solve for x
    x = 424,756.21/688.76
  6. Step 6: Final answer
    x = 616.70

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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.