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Finding the Fourth Proportional to 768.80, 1,061.08 and 453.92

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Solution

The fourth proportional to 768.80, 1,061.08 and 453.92 is: 626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.80 : 1,061.08 = 453.92 : x
  2. Step 2: Convert to fraction form
    768.80/1,061.08 = 453.92/x
  3. Step 3: Cross multiply
    768.80x = 1,061.08 × 453.92
  4. Step 4: Simplify right side
    768.80x = 481,645.43
  5. Step 5: Solve for x
    x = 481,645.43/768.80
  6. Step 6: Final answer
    x = 626.49

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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.