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Finding the Fourth Proportional to 781.97, 1,176.71 and 644.14

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Solution

The fourth proportional to 781.97, 1,176.71 and 644.14 is: 969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.97 : 1,176.71 = 644.14 : x
  2. Step 2: Convert to fraction form
    781.97/1,176.71 = 644.14/x
  3. Step 3: Cross multiply
    781.97x = 1,176.71 × 644.14
  4. Step 4: Simplify right side
    781.97x = 757,967.85
  5. Step 5: Solve for x
    x = 757,967.85/781.97
  6. Step 6: Final answer
    x = 969.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.