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Finding the Fourth Proportional to 785.87, 1,179.13 and 542.76

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Solution

The fourth proportional to 785.87, 1,179.13 and 542.76 is: 814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.87 : 1,179.13 = 542.76 : x
  2. Step 2: Convert to fraction form
    785.87/1,179.13 = 542.76/x
  3. Step 3: Cross multiply
    785.87x = 1,179.13 × 542.76
  4. Step 4: Simplify right side
    785.87x = 639,984.60
  5. Step 5: Solve for x
    x = 639,984.60/785.87
  6. Step 6: Final answer
    x = 814.36

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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.