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Finding the Fourth Proportional to 662.92, 914.48 and 397.15

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Solution

The fourth proportional to 662.92, 914.48 and 397.15 is: 547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.92 : 914.48 = 397.15 : x
  2. Step 2: Convert to fraction form
    662.92/914.48 = 397.15/x
  3. Step 3: Cross multiply
    662.92x = 914.48 × 397.15
  4. Step 4: Simplify right side
    662.92x = 363,182.15
  5. Step 5: Solve for x
    x = 363,182.15/662.92
  6. Step 6: Final answer
    x = 547.86

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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.