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Finding the Fourth Proportional to 727.72, 1,002.48 and 622.48

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Solution

The fourth proportional to 727.72, 1,002.48 and 622.48 is: 857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.72 : 1,002.48 = 622.48 : x
  2. Step 2: Convert to fraction form
    727.72/1,002.48 = 622.48/x
  3. Step 3: Cross multiply
    727.72x = 1,002.48 × 622.48
  4. Step 4: Simplify right side
    727.72x = 624,023.75
  5. Step 5: Solve for x
    x = 624,023.75/727.72
  6. Step 6: Final answer
    x = 857.51

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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.