Home / 1,031.14-1,422.99-589.07

Finding the Fourth Proportional to 1,031.14, 1,422.99 and 589.07

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Solution

The fourth proportional to 1,031.14, 1,422.99 and 589.07 is: 812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.14 : 1,422.99 = 589.07 : x
  2. Step 2: Convert to fraction form
    1,031.14/1,422.99 = 589.07/x
  3. Step 3: Cross multiply
    1,031.14x = 1,422.99 × 589.07
  4. Step 4: Simplify right side
    1,031.14x = 838,244.28
  5. Step 5: Solve for x
    x = 838,244.28/1,031.14
  6. Step 6: Final answer
    x = 812.93

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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.