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Finding the Fourth Proportional to 1,142.24, 1,576.31 and 644.85

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Solution

The fourth proportional to 1,142.24, 1,576.31 and 644.85 is: 889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.24 : 1,576.31 = 644.85 : x
  2. Step 2: Convert to fraction form
    1,142.24/1,576.31 = 644.85/x
  3. Step 3: Cross multiply
    1,142.24x = 1,576.31 × 644.85
  4. Step 4: Simplify right side
    1,142.24x = 1,016,480.28
  5. Step 5: Solve for x
    x = 1,016,480.28/1,142.24
  6. Step 6: Final answer
    x = 889.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.