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Finding the Fourth Proportional to 661.62, 912.98 and 396.11

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Solution

The fourth proportional to 661.62, 912.98 and 396.11 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.62 : 912.98 = 396.11 : x
  2. Step 2: Convert to fraction form
    661.62/912.98 = 396.11/x
  3. Step 3: Cross multiply
    661.62x = 912.98 × 396.11
  4. Step 4: Simplify right side
    661.62x = 361,633.96
  5. Step 5: Solve for x
    x = 361,633.96/661.62
  6. Step 6: Final answer
    x = 546.59

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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.