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Finding the Fourth Proportional to 797.97, 1,191.90 and 776.10

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Solution

The fourth proportional to 797.97, 1,191.90 and 776.10 is: 1,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.97 : 1,191.90 = 776.10 : x
  2. Step 2: Convert to fraction form
    797.97/1,191.90 = 776.10/x
  3. Step 3: Cross multiply
    797.97x = 1,191.90 × 776.10
  4. Step 4: Simplify right side
    797.97x = 925,033.59
  5. Step 5: Solve for x
    x = 925,033.59/797.97
  6. Step 6: Final answer
    x = 1,159.23

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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.