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Finding the Fourth Proportional to 782.29, 1,172.40 and 411.34

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Solution

The fourth proportional to 782.29, 1,172.40 and 411.34 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.29 : 1,172.40 = 411.34 : x
  2. Step 2: Convert to fraction form
    782.29/1,172.40 = 411.34/x
  3. Step 3: Cross multiply
    782.29x = 1,172.40 × 411.34
  4. Step 4: Simplify right side
    782.29x = 482,250.54
  5. Step 5: Solve for x
    x = 482,250.54/782.29
  6. Step 6: Final answer
    x = 616.46

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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.