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Finding the Fourth Proportional to 782.61, 1,077.50 and 743.63

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Solution

The fourth proportional to 782.61, 1,077.50 and 743.63 is: 1,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.61 : 1,077.50 = 743.63 : x
  2. Step 2: Convert to fraction form
    782.61/1,077.50 = 743.63/x
  3. Step 3: Cross multiply
    782.61x = 1,077.50 × 743.63
  4. Step 4: Simplify right side
    782.61x = 801,257.80
  5. Step 5: Solve for x
    x = 801,257.80/782.61
  6. Step 6: Final answer
    x = 1,023.83

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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.