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Finding the Fourth Proportional to 1,227.96, 1,842.48 and 406.35

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Solution

The fourth proportional to 1,227.96, 1,842.48 and 406.35 is: 609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.96 : 1,842.48 = 406.35 : x
  2. Step 2: Convert to fraction form
    1,227.96/1,842.48 = 406.35/x
  3. Step 3: Cross multiply
    1,227.96x = 1,842.48 × 406.35
  4. Step 4: Simplify right side
    1,227.96x = 748,691.75
  5. Step 5: Solve for x
    x = 748,691.75/1,227.96
  6. Step 6: Final answer
    x = 609.70

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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.