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Finding the Fourth Proportional to 742.09, 1,023.81 and 447.45

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Solution

The fourth proportional to 742.09, 1,023.81 and 447.45 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.09 : 1,023.81 = 447.45 : x
  2. Step 2: Convert to fraction form
    742.09/1,023.81 = 447.45/x
  3. Step 3: Cross multiply
    742.09x = 1,023.81 × 447.45
  4. Step 4: Simplify right side
    742.09x = 458,103.78
  5. Step 5: Solve for x
    x = 458,103.78/742.09
  6. Step 6: Final answer
    x = 617.32

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1.5x scale

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.