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Finding the Fourth Proportional to 772.62, 1,059.07 and 762.24

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Solution

The fourth proportional to 772.62, 1,059.07 and 762.24 is: 1,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.62 : 1,059.07 = 762.24 : x
  2. Step 2: Convert to fraction form
    772.62/1,059.07 = 762.24/x
  3. Step 3: Cross multiply
    772.62x = 1,059.07 × 762.24
  4. Step 4: Simplify right side
    772.62x = 807,265.52
  5. Step 5: Solve for x
    x = 807,265.52/772.62
  6. Step 6: Final answer
    x = 1,044.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.