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Finding the Fourth Proportional to 661.88, 993.17 and 319.88

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Solution

The fourth proportional to 661.88, 993.17 and 319.88 is: 479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.88 : 993.17 = 319.88 : x
  2. Step 2: Convert to fraction form
    661.88/993.17 = 319.88/x
  3. Step 3: Cross multiply
    661.88x = 993.17 × 319.88
  4. Step 4: Simplify right side
    661.88x = 317,691.05
  5. Step 5: Solve for x
    x = 317,691.05/661.88
  6. Step 6: Final answer
    x = 479.99

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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.