Home / 1,031.28-1,423.18-565.54

Finding the Fourth Proportional to 1,031.28, 1,423.18 and 565.54

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Solution

The fourth proportional to 1,031.28, 1,423.18 and 565.54 is: 780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.28 : 1,423.18 = 565.54 : x
  2. Step 2: Convert to fraction form
    1,031.28/1,423.18 = 565.54/x
  3. Step 3: Cross multiply
    1,031.28x = 1,423.18 × 565.54
  4. Step 4: Simplify right side
    1,031.28x = 804,865.22
  5. Step 5: Solve for x
    x = 804,865.22/1,031.28
  6. Step 6: Final answer
    x = 780.45

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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.