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Finding the Fourth Proportional to 458.23, 632.64 and 408.28

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Solution

The fourth proportional to 458.23, 632.64 and 408.28 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 632.64 = 408.28 : x
  2. Step 2: Convert to fraction form
    458.23/632.64 = 408.28/x
  3. Step 3: Cross multiply
    458.23x = 632.64 × 408.28
  4. Step 4: Simplify right side
    458.23x = 258,294.26
  5. Step 5: Solve for x
    x = 258,294.26/458.23
  6. Step 6: Final answer
    x = 563.68

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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.