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Finding the Fourth Proportional to 742.28, 1,023.37 and 609

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Solution

The fourth proportional to 742.28, 1,023.37 and 609 is: 839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,023.37 = 609 : x
  2. Step 2: Convert to fraction form
    742.28/1,023.37 = 609/x
  3. Step 3: Cross multiply
    742.28x = 1,023.37 × 609
  4. Step 4: Simplify right side
    742.28x = 623,232.33
  5. Step 5: Solve for x
    x = 623,232.33/742.28
  6. Step 6: Final answer
    x = 839.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.