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Finding the Fourth Proportional to 686.15, 1,029.11 and 185.84

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Solution

The fourth proportional to 686.15, 1,029.11 and 185.84 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.15 : 1,029.11 = 185.84 : x
  2. Step 2: Convert to fraction form
    686.15/1,029.11 = 185.84/x
  3. Step 3: Cross multiply
    686.15x = 1,029.11 × 185.84
  4. Step 4: Simplify right side
    686.15x = 191,245.01
  5. Step 5: Solve for x
    x = 191,245.01/686.15
  6. Step 6: Final answer
    x = 278.72

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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.