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Finding the Fourth Proportional to 660.96, 912.16 and 398.96

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Solution

The fourth proportional to 660.96, 912.16 and 398.96 is: 550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.96 : 912.16 = 398.96 : x
  2. Step 2: Convert to fraction form
    660.96/912.16 = 398.96/x
  3. Step 3: Cross multiply
    660.96x = 912.16 × 398.96
  4. Step 4: Simplify right side
    660.96x = 363,915.35
  5. Step 5: Solve for x
    x = 363,915.35/660.96
  6. Step 6: Final answer
    x = 550.59

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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.