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Finding the Fourth Proportional to 458.47, 687.79 and 133.82

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Solution

The fourth proportional to 458.47, 687.79 and 133.82 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.47 : 687.79 = 133.82 : x
  2. Step 2: Convert to fraction form
    458.47/687.79 = 133.82/x
  3. Step 3: Cross multiply
    458.47x = 687.79 × 133.82
  4. Step 4: Simplify right side
    458.47x = 92,039.37
  5. Step 5: Solve for x
    x = 92,039.37/458.47
  6. Step 6: Final answer
    x = 200.75

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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.