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Finding the Fourth Proportional to 814.92, 1,124.70 and 789.42

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Solution

The fourth proportional to 814.92, 1,124.70 and 789.42 is: 1,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.92 : 1,124.70 = 789.42 : x
  2. Step 2: Convert to fraction form
    814.92/1,124.70 = 789.42/x
  3. Step 3: Cross multiply
    814.92x = 1,124.70 × 789.42
  4. Step 4: Simplify right side
    814.92x = 887,860.67
  5. Step 5: Solve for x
    x = 887,860.67/814.92
  6. Step 6: Final answer
    x = 1,089.51

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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.