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Finding the Fourth Proportional to 787.92, 1,184.28 and 749.52

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Solution

The fourth proportional to 787.92, 1,184.28 and 749.52 is: 1,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,184.28 = 749.52 : x
  2. Step 2: Convert to fraction form
    787.92/1,184.28 = 749.52/x
  3. Step 3: Cross multiply
    787.92x = 1,184.28 × 749.52
  4. Step 4: Simplify right side
    787.92x = 887,641.55
  5. Step 5: Solve for x
    x = 887,641.55/787.92
  6. Step 6: Final answer
    x = 1,126.56

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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.