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Finding the Fourth Proportional to 679.52, 1,019.30 and 185.96

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Solution

The fourth proportional to 679.52, 1,019.30 and 185.96 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.52 : 1,019.30 = 185.96 : x
  2. Step 2: Convert to fraction form
    679.52/1,019.30 = 185.96/x
  3. Step 3: Cross multiply
    679.52x = 1,019.30 × 185.96
  4. Step 4: Simplify right side
    679.52x = 189,550.65
  5. Step 5: Solve for x
    x = 189,550.65/679.52
  6. Step 6: Final answer
    x = 278.95

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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.