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Finding the Fourth Proportional to 458.51, 632.00 and 422.73

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Solution

The fourth proportional to 458.51, 632.00 and 422.73 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.51 : 632.00 = 422.73 : x
  2. Step 2: Convert to fraction form
    458.51/632.00 = 422.73/x
  3. Step 3: Cross multiply
    458.51x = 632.00 × 422.73
  4. Step 4: Simplify right side
    458.51x = 267,166.42
  5. Step 5: Solve for x
    x = 267,166.42/458.51
  6. Step 6: Final answer
    x = 582.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.