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Finding the Fourth Proportional to 494.82, 738.62 and 458.22

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Solution

The fourth proportional to 494.82, 738.62 and 458.22 is: 683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.82 : 738.62 = 458.22 : x
  2. Step 2: Convert to fraction form
    494.82/738.62 = 458.22/x
  3. Step 3: Cross multiply
    494.82x = 738.62 × 458.22
  4. Step 4: Simplify right side
    494.82x = 338,451.60
  5. Step 5: Solve for x
    x = 338,451.60/494.82
  6. Step 6: Final answer
    x = 683.99

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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.