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Finding the Fourth Proportional to 699.31, 1,048.96 and 333.90

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Solution

The fourth proportional to 699.31, 1,048.96 and 333.90 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.31 : 1,048.96 = 333.90 : x
  2. Step 2: Convert to fraction form
    699.31/1,048.96 = 333.90/x
  3. Step 3: Cross multiply
    699.31x = 1,048.96 × 333.90
  4. Step 4: Simplify right side
    699.31x = 350,245.68
  5. Step 5: Solve for x
    x = 350,245.68/699.31
  6. Step 6: Final answer
    x = 500.85

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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.