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Finding the Fourth Proportional to 782.55, 1,168.20 and 725.58

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Solution

The fourth proportional to 782.55, 1,168.20 and 725.58 is: 1,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.55 : 1,168.20 = 725.58 : x
  2. Step 2: Convert to fraction form
    782.55/1,168.20 = 725.58/x
  3. Step 3: Cross multiply
    782.55x = 1,168.20 × 725.58
  4. Step 4: Simplify right side
    782.55x = 847,622.56
  5. Step 5: Solve for x
    x = 847,622.56/782.55
  6. Step 6: Final answer
    x = 1,083.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.