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Finding the Fourth Proportional to 1,540.75, 2,311.15 and 514.75

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Solution

The fourth proportional to 1,540.75, 2,311.15 and 514.75 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.75 : 2,311.15 = 514.75 : x
  2. Step 2: Convert to fraction form
    1,540.75/2,311.15 = 514.75/x
  3. Step 3: Cross multiply
    1,540.75x = 2,311.15 × 514.75
  4. Step 4: Simplify right side
    1,540.75x = 1,189,664.46
  5. Step 5: Solve for x
    x = 1,189,664.46/1,540.75
  6. Step 6: Final answer
    x = 772.13

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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.