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Finding the Fourth Proportional to 1,641.47, 2,462.19 and 408.88

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Solution

The fourth proportional to 1,641.47, 2,462.19 and 408.88 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.47 : 2,462.19 = 408.88 : x
  2. Step 2: Convert to fraction form
    1,641.47/2,462.19 = 408.88/x
  3. Step 3: Cross multiply
    1,641.47x = 2,462.19 × 408.88
  4. Step 4: Simplify right side
    1,641.47x = 1,006,740.25
  5. Step 5: Solve for x
    x = 1,006,740.25/1,641.47
  6. Step 6: Final answer
    x = 613.32

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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.