Home / 1,031.46-1,423.66-589.61

Finding the Fourth Proportional to 1,031.46, 1,423.66 and 589.61

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Solution

The fourth proportional to 1,031.46, 1,423.66 and 589.61 is: 813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.46 : 1,423.66 = 589.61 : x
  2. Step 2: Convert to fraction form
    1,031.46/1,423.66 = 589.61/x
  3. Step 3: Cross multiply
    1,031.46x = 1,423.66 × 589.61
  4. Step 4: Simplify right side
    1,031.46x = 839,404.17
  5. Step 5: Solve for x
    x = 839,404.17/1,031.46
  6. Step 6: Final answer
    x = 813.80

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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.