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Finding the Fourth Proportional to 1,227.85, 1,841.78 and 406.15

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Solution

The fourth proportional to 1,227.85, 1,841.78 and 406.15 is: 609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.85 : 1,841.78 = 406.15 : x
  2. Step 2: Convert to fraction form
    1,227.85/1,841.78 = 406.15/x
  3. Step 3: Cross multiply
    1,227.85x = 1,841.78 × 406.15
  4. Step 4: Simplify right side
    1,227.85x = 748,036.92
  5. Step 5: Solve for x
    x = 748,036.92/1,227.85
  6. Step 6: Final answer
    x = 609.23

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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.