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Finding the Fourth Proportional to 1,031.47, 1,424.10 and 842.87

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Solution

The fourth proportional to 1,031.47, 1,424.10 and 842.87 is: 1,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.47 : 1,424.10 = 842.87 : x
  2. Step 2: Convert to fraction form
    1,031.47/1,424.10 = 842.87/x
  3. Step 3: Cross multiply
    1,031.47x = 1,424.10 × 842.87
  4. Step 4: Simplify right side
    1,031.47x = 1,200,326.95
  5. Step 5: Solve for x
    x = 1,200,326.95/1,031.47
  6. Step 6: Final answer
    x = 1,163.71

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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.