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Finding the Fourth Proportional to 457.80, 686.57 and 133.12

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Solution

The fourth proportional to 457.80, 686.57 and 133.12 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 686.57 = 133.12 : x
  2. Step 2: Convert to fraction form
    457.80/686.57 = 133.12/x
  3. Step 3: Cross multiply
    457.80x = 686.57 × 133.12
  4. Step 4: Simplify right side
    457.80x = 91,396.20
  5. Step 5: Solve for x
    x = 91,396.20/457.80
  6. Step 6: Final answer
    x = 199.64

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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.