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Finding the Fourth Proportional to 797.43, 1,189.41 and 773.13

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Solution

The fourth proportional to 797.43, 1,189.41 and 773.13 is: 1,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.43 : 1,189.41 = 773.13 : x
  2. Step 2: Convert to fraction form
    797.43/1,189.41 = 773.13/x
  3. Step 3: Cross multiply
    797.43x = 1,189.41 × 773.13
  4. Step 4: Simplify right side
    797.43x = 919,568.55
  5. Step 5: Solve for x
    x = 919,568.55/797.43
  6. Step 6: Final answer
    x = 1,153.17

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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.