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Finding the Fourth Proportional to 457.62, 686.49 and 183.84

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Solution

The fourth proportional to 457.62, 686.49 and 183.84 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.62 : 686.49 = 183.84 : x
  2. Step 2: Convert to fraction form
    457.62/686.49 = 183.84/x
  3. Step 3: Cross multiply
    457.62x = 686.49 × 183.84
  4. Step 4: Simplify right side
    457.62x = 126,200.89
  5. Step 5: Solve for x
    x = 126,200.89/457.62
  6. Step 6: Final answer
    x = 275.78

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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.