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Finding the Fourth Proportional to 797.68, 1,189.79 and 773.38

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Solution

The fourth proportional to 797.68, 1,189.79 and 773.38 is: 1,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.68 : 1,189.79 = 773.38 : x
  2. Step 2: Convert to fraction form
    797.68/1,189.79 = 773.38/x
  3. Step 3: Cross multiply
    797.68x = 1,189.79 × 773.38
  4. Step 4: Simplify right side
    797.68x = 920,159.79
  5. Step 5: Solve for x
    x = 920,159.79/797.68
  6. Step 6: Final answer
    x = 1,153.55

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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.