Home / 1,031.12-1,423.00-589.16

Finding the Fourth Proportional to 1,031.12, 1,423.00 and 589.16

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Solution

The fourth proportional to 1,031.12, 1,423.00 and 589.16 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.12 : 1,423.00 = 589.16 : x
  2. Step 2: Convert to fraction form
    1,031.12/1,423.00 = 589.16/x
  3. Step 3: Cross multiply
    1,031.12x = 1,423.00 × 589.16
  4. Step 4: Simplify right side
    1,031.12x = 838,371.73
  5. Step 5: Solve for x
    x = 838,371.73/1,031.12
  6. Step 6: Final answer
    x = 813.07

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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.