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Finding the Fourth Proportional to 1,142.63, 1,704.11 and 1,031.91

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Solution

The fourth proportional to 1,142.63, 1,704.11 and 1,031.91 is: 1,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.63 : 1,704.11 = 1,031.91 : x
  2. Step 2: Convert to fraction form
    1,142.63/1,704.11 = 1,031.91/x
  3. Step 3: Cross multiply
    1,142.63x = 1,704.11 × 1,031.91
  4. Step 4: Simplify right side
    1,142.63x = 1,758,488.15
  5. Step 5: Solve for x
    x = 1,758,488.15/1,142.63
  6. Step 6: Final answer
    x = 1,538.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.