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Finding the Fourth Proportional to 481.60, 717.67 and 458.38

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Solution

The fourth proportional to 481.60, 717.67 and 458.38 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 717.67 = 458.38 : x
  2. Step 2: Convert to fraction form
    481.60/717.67 = 458.38/x
  3. Step 3: Cross multiply
    481.60x = 717.67 × 458.38
  4. Step 4: Simplify right side
    481.60x = 328,965.57
  5. Step 5: Solve for x
    x = 328,965.57/481.60
  6. Step 6: Final answer
    x = 683.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.