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Finding the Fourth Proportional to 1,414.10, 2,120.47 and 489.71

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Solution

The fourth proportional to 1,414.10, 2,120.47 and 489.71 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.10 : 2,120.47 = 489.71 : x
  2. Step 2: Convert to fraction form
    1,414.10/2,120.47 = 489.71/x
  3. Step 3: Cross multiply
    1,414.10x = 2,120.47 × 489.71
  4. Step 4: Simplify right side
    1,414.10x = 1,038,419.44
  5. Step 5: Solve for x
    x = 1,038,419.44/1,414.10
  6. Step 6: Final answer
    x = 734.33

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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.