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Finding the Fourth Proportional to 1,517.62, 2,276.41 and 421.98

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Solution

The fourth proportional to 1,517.62, 2,276.41 and 421.98 is: 632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.62 : 2,276.41 = 421.98 : x
  2. Step 2: Convert to fraction form
    1,517.62/2,276.41 = 421.98/x
  3. Step 3: Cross multiply
    1,517.62x = 2,276.41 × 421.98
  4. Step 4: Simplify right side
    1,517.62x = 960,599.49
  5. Step 5: Solve for x
    x = 960,599.49/1,517.62
  6. Step 6: Final answer
    x = 632.96

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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.