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Finding the Fourth Proportional to 661.80, 991.84 and 353.44

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Solution

The fourth proportional to 661.80, 991.84 and 353.44 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.80 : 991.84 = 353.44 : x
  2. Step 2: Convert to fraction form
    661.80/991.84 = 353.44/x
  3. Step 3: Cross multiply
    661.80x = 991.84 × 353.44
  4. Step 4: Simplify right side
    661.80x = 350,555.93
  5. Step 5: Solve for x
    x = 350,555.93/661.80
  6. Step 6: Final answer
    x = 529.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.