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Finding the Fourth Proportional to 789.74, 1,182.54 and 557.38

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Solution

The fourth proportional to 789.74, 1,182.54 and 557.38 is: 834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.74 : 1,182.54 = 557.38 : x
  2. Step 2: Convert to fraction form
    789.74/1,182.54 = 557.38/x
  3. Step 3: Cross multiply
    789.74x = 1,182.54 × 557.38
  4. Step 4: Simplify right side
    789.74x = 659,124.15
  5. Step 5: Solve for x
    x = 659,124.15/789.74
  6. Step 6: Final answer
    x = 834.61

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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.