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Finding the Fourth Proportional to 1,414.84, 1,951.08 and 1,079.60

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Solution

The fourth proportional to 1,414.84, 1,951.08 and 1,079.60 is: 1,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.84 : 1,951.08 = 1,079.60 : x
  2. Step 2: Convert to fraction form
    1,414.84/1,951.08 = 1,079.60/x
  3. Step 3: Cross multiply
    1,414.84x = 1,951.08 × 1,079.60
  4. Step 4: Simplify right side
    1,414.84x = 2,106,385.97
  5. Step 5: Solve for x
    x = 2,106,385.97/1,414.84
  6. Step 6: Final answer
    x = 1,488.78

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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.