Home / 1,031.12-1,422.60-588.71

Finding the Fourth Proportional to 1,031.12, 1,422.60 and 588.71

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Solution

The fourth proportional to 1,031.12, 1,422.60 and 588.71 is: 812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.12 : 1,422.60 = 588.71 : x
  2. Step 2: Convert to fraction form
    1,031.12/1,422.60 = 588.71/x
  3. Step 3: Cross multiply
    1,031.12x = 1,422.60 × 588.71
  4. Step 4: Simplify right side
    1,031.12x = 837,498.85
  5. Step 5: Solve for x
    x = 837,498.85/1,031.12
  6. Step 6: Final answer
    x = 812.22

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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.