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Finding the Fourth Proportional to 661.80, 913.16 and 396.16

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Solution

The fourth proportional to 661.80, 913.16 and 396.16 is: 546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.80 : 913.16 = 396.16 : x
  2. Step 2: Convert to fraction form
    661.80/913.16 = 396.16/x
  3. Step 3: Cross multiply
    661.80x = 913.16 × 396.16
  4. Step 4: Simplify right side
    661.80x = 361,757.47
  5. Step 5: Solve for x
    x = 361,757.47/661.80
  6. Step 6: Final answer
    x = 546.63

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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.