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Finding the Fourth Proportional to 1,414.86, 2,121.51 and 490.34

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Solution

The fourth proportional to 1,414.86, 2,121.51 and 490.34 is: 735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.86 : 2,121.51 = 490.34 : x
  2. Step 2: Convert to fraction form
    1,414.86/2,121.51 = 490.34/x
  3. Step 3: Cross multiply
    1,414.86x = 2,121.51 × 490.34
  4. Step 4: Simplify right side
    1,414.86x = 1,040,248.15
  5. Step 5: Solve for x
    x = 1,040,248.15/1,414.86
  6. Step 6: Final answer
    x = 735.23

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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.