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Finding the Fourth Proportional to 458.92, 630.97 and 408.66

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Solution

The fourth proportional to 458.92, 630.97 and 408.66 is: 561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.92 : 630.97 = 408.66 : x
  2. Step 2: Convert to fraction form
    458.92/630.97 = 408.66/x
  3. Step 3: Cross multiply
    458.92x = 630.97 × 408.66
  4. Step 4: Simplify right side
    458.92x = 257,852.20
  5. Step 5: Solve for x
    x = 257,852.20/458.92
  6. Step 6: Final answer
    x = 561.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.