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Finding the Fourth Proportional to 797.36, 1,187.81 and 773.18

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Solution

The fourth proportional to 797.36, 1,187.81 and 773.18 is: 1,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.36 : 1,187.81 = 773.18 : x
  2. Step 2: Convert to fraction form
    797.36/1,187.81 = 773.18/x
  3. Step 3: Cross multiply
    797.36x = 1,187.81 × 773.18
  4. Step 4: Simplify right side
    797.36x = 918,390.94
  5. Step 5: Solve for x
    x = 918,390.94/797.36
  6. Step 6: Final answer
    x = 1,151.79

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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.