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Finding the Fourth Proportional to 1,414.20, 1,951.65 and 916.68

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Solution

The fourth proportional to 1,414.20, 1,951.65 and 916.68 is: 1,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.20 : 1,951.65 = 916.68 : x
  2. Step 2: Convert to fraction form
    1,414.20/1,951.65 = 916.68/x
  3. Step 3: Cross multiply
    1,414.20x = 1,951.65 × 916.68
  4. Step 4: Simplify right side
    1,414.20x = 1,789,038.52
  5. Step 5: Solve for x
    x = 1,789,038.52/1,414.20
  6. Step 6: Final answer
    x = 1,265.05

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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.