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Finding the Fourth Proportional to 1,274.76, 1,902.90 and 1,102.56

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Solution

The fourth proportional to 1,274.76, 1,902.90 and 1,102.56 is: 1,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.76 : 1,902.90 = 1,102.56 : x
  2. Step 2: Convert to fraction form
    1,274.76/1,902.90 = 1,102.56/x
  3. Step 3: Cross multiply
    1,274.76x = 1,902.90 × 1,102.56
  4. Step 4: Simplify right side
    1,274.76x = 2,098,061.42
  5. Step 5: Solve for x
    x = 2,098,061.42/1,274.76
  6. Step 6: Final answer
    x = 1,645.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.