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Finding the Fourth Proportional to 1,517.81, 2,275.34 and 543.69

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Solution

The fourth proportional to 1,517.81, 2,275.34 and 543.69 is: 815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.81 : 2,275.34 = 543.69 : x
  2. Step 2: Convert to fraction form
    1,517.81/2,275.34 = 543.69/x
  3. Step 3: Cross multiply
    1,517.81x = 2,275.34 × 543.69
  4. Step 4: Simplify right side
    1,517.81x = 1,237,076.89
  5. Step 5: Solve for x
    x = 1,237,076.89/1,517.81
  6. Step 6: Final answer
    x = 815.04

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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.