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Finding the Fourth Proportional to 661.24, 991.51 and 331.82

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Solution

The fourth proportional to 661.24, 991.51 and 331.82 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.24 : 991.51 = 331.82 : x
  2. Step 2: Convert to fraction form
    661.24/991.51 = 331.82/x
  3. Step 3: Cross multiply
    661.24x = 991.51 × 331.82
  4. Step 4: Simplify right side
    661.24x = 329,002.85
  5. Step 5: Solve for x
    x = 329,002.85/661.24
  6. Step 6: Final answer
    x = 497.55

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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.