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Finding the Fourth Proportional to 797.70, 1,195.73 and 577.79

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Solution

The fourth proportional to 797.70, 1,195.73 and 577.79 is: 866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,195.73 = 577.79 : x
  2. Step 2: Convert to fraction form
    797.70/1,195.73 = 577.79/x
  3. Step 3: Cross multiply
    797.70x = 1,195.73 × 577.79
  4. Step 4: Simplify right side
    797.70x = 690,871.97
  5. Step 5: Solve for x
    x = 690,871.97/797.70
  6. Step 6: Final answer
    x = 866.08

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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.