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Finding the Fourth Proportional to 686.65, 1,029.97 and 166.66

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Solution

The fourth proportional to 686.65, 1,029.97 and 166.66 is: 249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.65 : 1,029.97 = 166.66 : x
  2. Step 2: Convert to fraction form
    686.65/1,029.97 = 166.66/x
  3. Step 3: Cross multiply
    686.65x = 1,029.97 × 166.66
  4. Step 4: Simplify right side
    686.65x = 171,650.52
  5. Step 5: Solve for x
    x = 171,650.52/686.65
  6. Step 6: Final answer
    x = 249.98

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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.