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Finding the Fourth Proportional to 766.49, 1,144 and 661.91

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Solution

The fourth proportional to 766.49, 1,144 and 661.91 is: 987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.49 : 1,144 = 661.91 : x
  2. Step 2: Convert to fraction form
    766.49/1,144 = 661.91/x
  3. Step 3: Cross multiply
    766.49x = 1,144 × 661.91
  4. Step 4: Simplify right side
    766.49x = 757,225.04
  5. Step 5: Solve for x
    x = 757,225.04/766.49
  6. Step 6: Final answer
    x = 987.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.