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Finding the Fourth Proportional to 782.48, 1,172.68 and 411.52

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Solution

The fourth proportional to 782.48, 1,172.68 and 411.52 is: 616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.48 : 1,172.68 = 411.52 : x
  2. Step 2: Convert to fraction form
    782.48/1,172.68 = 411.52/x
  3. Step 3: Cross multiply
    782.48x = 1,172.68 × 411.52
  4. Step 4: Simplify right side
    782.48x = 482,584.68
  5. Step 5: Solve for x
    x = 482,584.68/782.48
  6. Step 6: Final answer
    x = 616.74

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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.