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Finding the Fourth Proportional to 1,102.96, 1,522.04 and 660.92

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Solution

The fourth proportional to 1,102.96, 1,522.04 and 660.92 is: 912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.96 : 1,522.04 = 660.92 : x
  2. Step 2: Convert to fraction form
    1,102.96/1,522.04 = 660.92/x
  3. Step 3: Cross multiply
    1,102.96x = 1,522.04 × 660.92
  4. Step 4: Simplify right side
    1,102.96x = 1,005,946.68
  5. Step 5: Solve for x
    x = 1,005,946.68/1,102.96
  6. Step 6: Final answer
    x = 912.04

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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.