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Finding the Fourth Proportional to 742.24, 1,113.83 and 309.41

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Solution

The fourth proportional to 742.24, 1,113.83 and 309.41 is: 464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.24 : 1,113.83 = 309.41 : x
  2. Step 2: Convert to fraction form
    742.24/1,113.83 = 309.41/x
  3. Step 3: Cross multiply
    742.24x = 1,113.83 × 309.41
  4. Step 4: Simplify right side
    742.24x = 344,630.14
  5. Step 5: Solve for x
    x = 344,630.14/742.24
  6. Step 6: Final answer
    x = 464.31

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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.