Home / 1,031.06-1,422.86-588.96

Finding the Fourth Proportional to 1,031.06, 1,422.86 and 588.96

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Solution

The fourth proportional to 1,031.06, 1,422.86 and 588.96 is: 812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.06 : 1,422.86 = 588.96 : x
  2. Step 2: Convert to fraction form
    1,031.06/1,422.86 = 588.96/x
  3. Step 3: Cross multiply
    1,031.06x = 1,422.86 × 588.96
  4. Step 4: Simplify right side
    1,031.06x = 838,004.68
  5. Step 5: Solve for x
    x = 838,004.68/1,031.06
  6. Step 6: Final answer
    x = 812.76

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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.