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Finding the Fourth Proportional to 662.54, 914.32 and 363.81

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Solution

The fourth proportional to 662.54, 914.32 and 363.81 is: 502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.54 : 914.32 = 363.81 : x
  2. Step 2: Convert to fraction form
    662.54/914.32 = 363.81/x
  3. Step 3: Cross multiply
    662.54x = 914.32 × 363.81
  4. Step 4: Simplify right side
    662.54x = 332,638.76
  5. Step 5: Solve for x
    x = 332,638.76/662.54
  6. Step 6: Final answer
    x = 502.07

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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.