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Finding the Fourth Proportional to 1,220.85, 1,827.02 and 998.91

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Solution

The fourth proportional to 1,220.85, 1,827.02 and 998.91 is: 1,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.85 : 1,827.02 = 998.91 : x
  2. Step 2: Convert to fraction form
    1,220.85/1,827.02 = 998.91/x
  3. Step 3: Cross multiply
    1,220.85x = 1,827.02 × 998.91
  4. Step 4: Simplify right side
    1,220.85x = 1,825,023.55
  5. Step 5: Solve for x
    x = 1,825,023.55/1,220.85
  6. Step 6: Final answer
    x = 1,494.88

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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.