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Finding the Fourth Proportional to 742.20, 1,113.36 and 309.64

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Solution

The fourth proportional to 742.20, 1,113.36 and 309.64 is: 464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.20 : 1,113.36 = 309.64 : x
  2. Step 2: Convert to fraction form
    742.20/1,113.36 = 309.64/x
  3. Step 3: Cross multiply
    742.20x = 1,113.36 × 309.64
  4. Step 4: Simplify right side
    742.20x = 344,740.79
  5. Step 5: Solve for x
    x = 344,740.79/742.20
  6. Step 6: Final answer
    x = 464.49

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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.