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Finding the Fourth Proportional to 782.97, 1,172.35 and 575.97

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Solution

The fourth proportional to 782.97, 1,172.35 and 575.97 is: 862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.97 : 1,172.35 = 575.97 : x
  2. Step 2: Convert to fraction form
    782.97/1,172.35 = 575.97/x
  3. Step 3: Cross multiply
    782.97x = 1,172.35 × 575.97
  4. Step 4: Simplify right side
    782.97x = 675,238.43
  5. Step 5: Solve for x
    x = 675,238.43/782.97
  6. Step 6: Final answer
    x = 862.41

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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.