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Finding the Fourth Proportional to 661.77, 993.24 and 353.88

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Solution

The fourth proportional to 661.77, 993.24 and 353.88 is: 531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 993.24 = 353.88 : x
  2. Step 2: Convert to fraction form
    661.77/993.24 = 353.88/x
  3. Step 3: Cross multiply
    661.77x = 993.24 × 353.88
  4. Step 4: Simplify right side
    661.77x = 351,487.77
  5. Step 5: Solve for x
    x = 351,487.77/661.77
  6. Step 6: Final answer
    x = 531.13

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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.