Home / 1,540.50-2,311.20-566.61

Finding the Fourth Proportional to 1,540.50, 2,311.20 and 566.61

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Solution

The fourth proportional to 1,540.50, 2,311.20 and 566.61 is: 850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.50 : 2,311.20 = 566.61 : x
  2. Step 2: Convert to fraction form
    1,540.50/2,311.20 = 566.61/x
  3. Step 3: Cross multiply
    1,540.50x = 2,311.20 × 566.61
  4. Step 4: Simplify right side
    1,540.50x = 1,309,549.03
  5. Step 5: Solve for x
    x = 1,309,549.03/1,540.50
  6. Step 6: Final answer
    x = 850.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.