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Finding the Fourth Proportional to 771.90, 1,062.44 and 698.06

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Solution

The fourth proportional to 771.90, 1,062.44 and 698.06 is: 960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,062.44 = 698.06 : x
  2. Step 2: Convert to fraction form
    771.90/1,062.44 = 698.06/x
  3. Step 3: Cross multiply
    771.90x = 1,062.44 × 698.06
  4. Step 4: Simplify right side
    771.90x = 741,646.87
  5. Step 5: Solve for x
    x = 741,646.87/771.90
  6. Step 6: Final answer
    x = 960.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.