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Finding the Fourth Proportional to 782.74, 1,080.36 and 517.23

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Solution

The fourth proportional to 782.74, 1,080.36 and 517.23 is: 713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.74 : 1,080.36 = 517.23 : x
  2. Step 2: Convert to fraction form
    782.74/1,080.36 = 517.23/x
  3. Step 3: Cross multiply
    782.74x = 1,080.36 × 517.23
  4. Step 4: Simplify right side
    782.74x = 558,794.60
  5. Step 5: Solve for x
    x = 558,794.60/782.74
  6. Step 6: Final answer
    x = 713.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.