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Finding the Fourth Proportional to 776.97, 1,164.74 and 709.33

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Solution

The fourth proportional to 776.97, 1,164.74 and 709.33 is: 1,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.97 : 1,164.74 = 709.33 : x
  2. Step 2: Convert to fraction form
    776.97/1,164.74 = 709.33/x
  3. Step 3: Cross multiply
    776.97x = 1,164.74 × 709.33
  4. Step 4: Simplify right side
    776.97x = 826,185.02
  5. Step 5: Solve for x
    x = 826,185.02/776.97
  6. Step 6: Final answer
    x = 1,063.34

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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.