Home / 1,031.16-1,422.88-589.08

Finding the Fourth Proportional to 1,031.16, 1,422.88 and 589.08

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Solution

The fourth proportional to 1,031.16, 1,422.88 and 589.08 is: 812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.16 : 1,422.88 = 589.08 : x
  2. Step 2: Convert to fraction form
    1,031.16/1,422.88 = 589.08/x
  3. Step 3: Cross multiply
    1,031.16x = 1,422.88 × 589.08
  4. Step 4: Simplify right side
    1,031.16x = 838,190.15
  5. Step 5: Solve for x
    x = 838,190.15/1,031.16
  6. Step 6: Final answer
    x = 812.86

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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.