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Finding the Fourth Proportional to 773.11, 1,164.90 and 639.16

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Solution

The fourth proportional to 773.11, 1,164.90 and 639.16 is: 963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.11 : 1,164.90 = 639.16 : x
  2. Step 2: Convert to fraction form
    773.11/1,164.90 = 639.16/x
  3. Step 3: Cross multiply
    773.11x = 1,164.90 × 639.16
  4. Step 4: Simplify right side
    773.11x = 744,553.37
  5. Step 5: Solve for x
    x = 744,553.37/773.11
  6. Step 6: Final answer
    x = 963.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.