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Finding the Fourth Proportional to 1,517.60, 2,277.12 and 543.80

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Solution

The fourth proportional to 1,517.60, 2,277.12 and 543.80 is: 815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.60 : 2,277.12 = 543.80 : x
  2. Step 2: Convert to fraction form
    1,517.60/2,277.12 = 543.80/x
  3. Step 3: Cross multiply
    1,517.60x = 2,277.12 × 543.80
  4. Step 4: Simplify right side
    1,517.60x = 1,238,297.86
  5. Step 5: Solve for x
    x = 1,238,297.86/1,517.60
  6. Step 6: Final answer
    x = 815.96

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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.