Home / 1,031.81-1,423.97-566.06

Finding the Fourth Proportional to 1,031.81, 1,423.97 and 566.06

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Solution

The fourth proportional to 1,031.81, 1,423.97 and 566.06 is: 781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.81 : 1,423.97 = 566.06 : x
  2. Step 2: Convert to fraction form
    1,031.81/1,423.97 = 566.06/x
  3. Step 3: Cross multiply
    1,031.81x = 1,423.97 × 566.06
  4. Step 4: Simplify right side
    1,031.81x = 806,057.43
  5. Step 5: Solve for x
    x = 806,057.43/1,031.81
  6. Step 6: Final answer
    x = 781.21

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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.