Home / 1,031.60-1,423.58-565.86

Finding the Fourth Proportional to 1,031.60, 1,423.58 and 565.86

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Solution

The fourth proportional to 1,031.60, 1,423.58 and 565.86 is: 780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.60 : 1,423.58 = 565.86 : x
  2. Step 2: Convert to fraction form
    1,031.60/1,423.58 = 565.86/x
  3. Step 3: Cross multiply
    1,031.60x = 1,423.58 × 565.86
  4. Step 4: Simplify right side
    1,031.60x = 805,546.98
  5. Step 5: Solve for x
    x = 805,546.98/1,031.60
  6. Step 6: Final answer
    x = 780.87

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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.