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Finding the Fourth Proportional to 766.98, 1,057.42 and 661.94

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Solution

The fourth proportional to 766.98, 1,057.42 and 661.94 is: 912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.98 : 1,057.42 = 661.94 : x
  2. Step 2: Convert to fraction form
    766.98/1,057.42 = 661.94/x
  3. Step 3: Cross multiply
    766.98x = 1,057.42 × 661.94
  4. Step 4: Simplify right side
    766.98x = 699,948.59
  5. Step 5: Solve for x
    x = 699,948.59/766.98
  6. Step 6: Final answer
    x = 912.60

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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.