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Finding the Fourth Proportional to 1,113.72, 1,668.22 and 787.92

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Solution

The fourth proportional to 1,113.72, 1,668.22 and 787.92 is: 1,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.72 : 1,668.22 = 787.92 : x
  2. Step 2: Convert to fraction form
    1,113.72/1,668.22 = 787.92/x
  3. Step 3: Cross multiply
    1,113.72x = 1,668.22 × 787.92
  4. Step 4: Simplify right side
    1,113.72x = 1,314,423.90
  5. Step 5: Solve for x
    x = 1,314,423.90/1,113.72
  6. Step 6: Final answer
    x = 1,180.21

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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.