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Finding the Fourth Proportional to 1,142.08, 1,576.20 and 644.74

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Solution

The fourth proportional to 1,142.08, 1,576.20 and 644.74 is: 889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.08 : 1,576.20 = 644.74 : x
  2. Step 2: Convert to fraction form
    1,142.08/1,576.20 = 644.74/x
  3. Step 3: Cross multiply
    1,142.08x = 1,576.20 × 644.74
  4. Step 4: Simplify right side
    1,142.08x = 1,016,239.19
  5. Step 5: Solve for x
    x = 1,016,239.19/1,142.08
  6. Step 6: Final answer
    x = 889.81

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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.