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Finding the Fourth Proportional to 699.67, 1,049.49 and 212.73

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Solution

The fourth proportional to 699.67, 1,049.49 and 212.73 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.67 : 1,049.49 = 212.73 : x
  2. Step 2: Convert to fraction form
    699.67/1,049.49 = 212.73/x
  3. Step 3: Cross multiply
    699.67x = 1,049.49 × 212.73
  4. Step 4: Simplify right side
    699.67x = 223,254.07
  5. Step 5: Solve for x
    x = 223,254.07/699.67
  6. Step 6: Final answer
    x = 319.08

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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.