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Finding the Fourth Proportional to 787.82, 1,180.11 and 748.94

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Solution

The fourth proportional to 787.82, 1,180.11 and 748.94 is: 1,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.82 : 1,180.11 = 748.94 : x
  2. Step 2: Convert to fraction form
    787.82/1,180.11 = 748.94/x
  3. Step 3: Cross multiply
    787.82x = 1,180.11 × 748.94
  4. Step 4: Simplify right side
    787.82x = 883,831.58
  5. Step 5: Solve for x
    x = 883,831.58/787.82
  6. Step 6: Final answer
    x = 1,121.87

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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.