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Finding the Fourth Proportional to 782.60, 1,077.53 and 595.49

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Solution

The fourth proportional to 782.60, 1,077.53 and 595.49 is: 819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.60 : 1,077.53 = 595.49 : x
  2. Step 2: Convert to fraction form
    782.60/1,077.53 = 595.49/x
  3. Step 3: Cross multiply
    782.60x = 1,077.53 × 595.49
  4. Step 4: Simplify right side
    782.60x = 641,658.06
  5. Step 5: Solve for x
    x = 641,658.06/782.60
  6. Step 6: Final answer
    x = 819.90

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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.