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Finding the Fourth Proportional to 481.96, 718.01 and 458.74

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Solution

The fourth proportional to 481.96, 718.01 and 458.74 is: 683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.96 : 718.01 = 458.74 : x
  2. Step 2: Convert to fraction form
    481.96/718.01 = 458.74/x
  3. Step 3: Cross multiply
    481.96x = 718.01 × 458.74
  4. Step 4: Simplify right side
    481.96x = 329,379.91
  5. Step 5: Solve for x
    x = 329,379.91/481.96
  6. Step 6: Final answer
    x = 683.42

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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.