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Finding the Fourth Proportional to 1,414.16, 2,120.66 and 489.56

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Solution

The fourth proportional to 1,414.16, 2,120.66 and 489.56 is: 734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.16 : 2,120.66 = 489.56 : x
  2. Step 2: Convert to fraction form
    1,414.16/2,120.66 = 489.56/x
  3. Step 3: Cross multiply
    1,414.16x = 2,120.66 × 489.56
  4. Step 4: Simplify right side
    1,414.16x = 1,038,190.31
  5. Step 5: Solve for x
    x = 1,038,190.31/1,414.16
  6. Step 6: Final answer
    x = 734.14

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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.