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Finding the Fourth Proportional to 766.73, 1,056.12 and 600.65

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Solution

The fourth proportional to 766.73, 1,056.12 and 600.65 is: 827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.73 : 1,056.12 = 600.65 : x
  2. Step 2: Convert to fraction form
    766.73/1,056.12 = 600.65/x
  3. Step 3: Cross multiply
    766.73x = 1,056.12 × 600.65
  4. Step 4: Simplify right side
    766.73x = 634,361.12
  5. Step 5: Solve for x
    x = 634,361.12/766.73
  6. Step 6: Final answer
    x = 827.36

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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.