Home / 1,414.20-2,121.30-489.45

Finding the Fourth Proportional to 1,414.20, 2,121.30 and 489.45

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Solution

The fourth proportional to 1,414.20, 2,121.30 and 489.45 is: 734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.20 : 2,121.30 = 489.45 : x
  2. Step 2: Convert to fraction form
    1,414.20/2,121.30 = 489.45/x
  3. Step 3: Cross multiply
    1,414.20x = 2,121.30 × 489.45
  4. Step 4: Simplify right side
    1,414.20x = 1,038,270.29
  5. Step 5: Solve for x
    x = 1,038,270.29/1,414.20
  6. Step 6: Final answer
    x = 734.18

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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.