Home / 1,517.28-2,275.38-543.12

Finding the Fourth Proportional to 1,517.28, 2,275.38 and 543.12

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Solution

The fourth proportional to 1,517.28, 2,275.38 and 543.12 is: 814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.28 : 2,275.38 = 543.12 : x
  2. Step 2: Convert to fraction form
    1,517.28/2,275.38 = 543.12/x
  3. Step 3: Cross multiply
    1,517.28x = 2,275.38 × 543.12
  4. Step 4: Simplify right side
    1,517.28x = 1,235,804.39
  5. Step 5: Solve for x
    x = 1,235,804.39/1,517.28
  6. Step 6: Final answer
    x = 814.49

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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.