Home / 1,031.18-1,423.12-589.23

Finding the Fourth Proportional to 1,031.18, 1,423.12 and 589.23

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Solution

The fourth proportional to 1,031.18, 1,423.12 and 589.23 is: 813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.18 : 1,423.12 = 589.23 : x
  2. Step 2: Convert to fraction form
    1,031.18/1,423.12 = 589.23/x
  3. Step 3: Cross multiply
    1,031.18x = 1,423.12 × 589.23
  4. Step 4: Simplify right side
    1,031.18x = 838,545.00
  5. Step 5: Solve for x
    x = 838,545.00/1,031.18
  6. Step 6: Final answer
    x = 813.19

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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.