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Finding the Fourth Proportional to 768.06, 1,057.17 and 642.33

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Solution

The fourth proportional to 768.06, 1,057.17 and 642.33 is: 884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.06 : 1,057.17 = 642.33 : x
  2. Step 2: Convert to fraction form
    768.06/1,057.17 = 642.33/x
  3. Step 3: Cross multiply
    768.06x = 1,057.17 × 642.33
  4. Step 4: Simplify right side
    768.06x = 679,052.01
  5. Step 5: Solve for x
    x = 679,052.01/768.06
  6. Step 6: Final answer
    x = 884.11

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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.