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Finding the Fourth Proportional to 742.70, 1,113.82 and 309.75

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Solution

The fourth proportional to 742.70, 1,113.82 and 309.75 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.70 : 1,113.82 = 309.75 : x
  2. Step 2: Convert to fraction form
    742.70/1,113.82 = 309.75/x
  3. Step 3: Cross multiply
    742.70x = 1,113.82 × 309.75
  4. Step 4: Simplify right side
    742.70x = 345,005.75
  5. Step 5: Solve for x
    x = 345,005.75/742.70
  6. Step 6: Final answer
    x = 464.53

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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.