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Finding the Fourth Proportional to 699.52, 1,049.26 and 186.52

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Solution

The fourth proportional to 699.52, 1,049.26 and 186.52 is: 279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.52 : 1,049.26 = 186.52 : x
  2. Step 2: Convert to fraction form
    699.52/1,049.26 = 186.52/x
  3. Step 3: Cross multiply
    699.52x = 1,049.26 × 186.52
  4. Step 4: Simplify right side
    699.52x = 195,707.98
  5. Step 5: Solve for x
    x = 195,707.98/699.52
  6. Step 6: Final answer
    x = 279.77

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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.