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Finding the Fourth Proportional to 699.37, 1,049.23 and 212.40

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Solution

The fourth proportional to 699.37, 1,049.23 and 212.40 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.37 : 1,049.23 = 212.40 : x
  2. Step 2: Convert to fraction form
    699.37/1,049.23 = 212.40/x
  3. Step 3: Cross multiply
    699.37x = 1,049.23 × 212.40
  4. Step 4: Simplify right side
    699.37x = 222,856.45
  5. Step 5: Solve for x
    x = 222,856.45/699.37
  6. Step 6: Final answer
    x = 318.65

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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.