Home / 1,541.12-2,311.68-514.88

Finding the Fourth Proportional to 1,541.12, 2,311.68 and 514.88

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Solution

The fourth proportional to 1,541.12, 2,311.68 and 514.88 is: 772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.12 : 2,311.68 = 514.88 : x
  2. Step 2: Convert to fraction form
    1,541.12/2,311.68 = 514.88/x
  3. Step 3: Cross multiply
    1,541.12x = 2,311.68 × 514.88
  4. Step 4: Simplify right side
    1,541.12x = 1,190,237.80
  5. Step 5: Solve for x
    x = 1,190,237.80/1,541.12
  6. Step 6: Final answer
    x = 772.32

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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.