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Finding the Fourth Proportional to 785.31, 1,179.15 and 494.61

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Solution

The fourth proportional to 785.31, 1,179.15 and 494.61 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.31 : 1,179.15 = 494.61 : x
  2. Step 2: Convert to fraction form
    785.31/1,179.15 = 494.61/x
  3. Step 3: Cross multiply
    785.31x = 1,179.15 × 494.61
  4. Step 4: Simplify right side
    785.31x = 583,219.38
  5. Step 5: Solve for x
    x = 583,219.38/785.31
  6. Step 6: Final answer
    x = 742.66

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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.