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Finding the Fourth Proportional to 662.96, 914.24 and 397.35

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Solution

The fourth proportional to 662.96, 914.24 and 397.35 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 914.24 = 397.35 : x
  2. Step 2: Convert to fraction form
    662.96/914.24 = 397.35/x
  3. Step 3: Cross multiply
    662.96x = 914.24 × 397.35
  4. Step 4: Simplify right side
    662.96x = 363,273.26
  5. Step 5: Solve for x
    x = 363,273.26/662.96
  6. Step 6: Final answer
    x = 547.96

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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.