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Finding the Fourth Proportional to 1,142.18, 1,576.05 and 644.78

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Solution

The fourth proportional to 1,142.18, 1,576.05 and 644.78 is: 889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.18 : 1,576.05 = 644.78 : x
  2. Step 2: Convert to fraction form
    1,142.18/1,576.05 = 644.78/x
  3. Step 3: Cross multiply
    1,142.18x = 1,576.05 × 644.78
  4. Step 4: Simplify right side
    1,142.18x = 1,016,197.64
  5. Step 5: Solve for x
    x = 1,016,197.64/1,142.18
  6. Step 6: Final answer
    x = 889.70

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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.