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Finding the Fourth Proportional to 458.25, 687.69 and 169.70

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Solution

The fourth proportional to 458.25, 687.69 and 169.70 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 687.69 = 169.70 : x
  2. Step 2: Convert to fraction form
    458.25/687.69 = 169.70/x
  3. Step 3: Cross multiply
    458.25x = 687.69 × 169.70
  4. Step 4: Simplify right side
    458.25x = 116,697.55
  5. Step 5: Solve for x
    x = 116,697.55/458.25
  6. Step 6: Final answer
    x = 254.66

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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.