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Finding the Fourth Proportional to 1,449.49, 2,174.04 and 409.58

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Solution

The fourth proportional to 1,449.49, 2,174.04 and 409.58 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.49 : 2,174.04 = 409.58 : x
  2. Step 2: Convert to fraction form
    1,449.49/2,174.04 = 409.58/x
  3. Step 3: Cross multiply
    1,449.49x = 2,174.04 × 409.58
  4. Step 4: Simplify right side
    1,449.49x = 890,432.43
  5. Step 5: Solve for x
    x = 890,432.43/1,449.49
  6. Step 6: Final answer
    x = 614.31

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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.