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Finding the Fourth Proportional to 462.51, 634.92 and 396.90

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Solution

The fourth proportional to 462.51, 634.92 and 396.90 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.51 : 634.92 = 396.90 : x
  2. Step 2: Convert to fraction form
    462.51/634.92 = 396.90/x
  3. Step 3: Cross multiply
    462.51x = 634.92 × 396.90
  4. Step 4: Simplify right side
    462.51x = 251,994.59
  5. Step 5: Solve for x
    x = 251,994.59/462.51
  6. Step 6: Final answer
    x = 544.85

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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.