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Finding the Fourth Proportional to 462.48, 634.32 and 446.52

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Solution

The fourth proportional to 462.48, 634.32 and 446.52 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.48 : 634.32 = 446.52 : x
  2. Step 2: Convert to fraction form
    462.48/634.32 = 446.52/x
  3. Step 3: Cross multiply
    462.48x = 634.32 × 446.52
  4. Step 4: Simplify right side
    462.48x = 283,236.57
  5. Step 5: Solve for x
    x = 283,236.57/462.48
  6. Step 6: Final answer
    x = 612.43

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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.