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Finding the Fourth Proportional to 1,242.02, 1,863 and 409.20

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Solution

The fourth proportional to 1,242.02, 1,863 and 409.20 is: 613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.02 : 1,863 = 409.20 : x
  2. Step 2: Convert to fraction form
    1,242.02/1,863 = 409.20/x
  3. Step 3: Cross multiply
    1,242.02x = 1,863 × 409.20
  4. Step 4: Simplify right side
    1,242.02x = 762,339.60
  5. Step 5: Solve for x
    x = 762,339.60/1,242.02
  6. Step 6: Final answer
    x = 613.79

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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.