Home / 1,031.09-1,422.92-589.04

Finding the Fourth Proportional to 1,031.09, 1,422.92 and 589.04

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Solution

The fourth proportional to 1,031.09, 1,422.92 and 589.04 is: 812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.09 : 1,422.92 = 589.04 : x
  2. Step 2: Convert to fraction form
    1,031.09/1,422.92 = 589.04/x
  3. Step 3: Cross multiply
    1,031.09x = 1,422.92 × 589.04
  4. Step 4: Simplify right side
    1,031.09x = 838,146.74
  5. Step 5: Solve for x
    x = 838,146.74/1,031.09
  6. Step 6: Final answer
    x = 812.88

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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.