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Finding the Fourth Proportional to 766.34, 1,057.30 and 667.94

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Solution

The fourth proportional to 766.34, 1,057.30 and 667.94 is: 921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.34 : 1,057.30 = 667.94 : x
  2. Step 2: Convert to fraction form
    766.34/1,057.30 = 667.94/x
  3. Step 3: Cross multiply
    766.34x = 1,057.30 × 667.94
  4. Step 4: Simplify right side
    766.34x = 706,212.96
  5. Step 5: Solve for x
    x = 706,212.96/766.34
  6. Step 6: Final answer
    x = 921.54

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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.