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Finding the Fourth Proportional to 799.98, 1,101.42 and 696.48

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Solution

The fourth proportional to 799.98, 1,101.42 and 696.48 is: 958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.98 : 1,101.42 = 696.48 : x
  2. Step 2: Convert to fraction form
    799.98/1,101.42 = 696.48/x
  3. Step 3: Cross multiply
    799.98x = 1,101.42 × 696.48
  4. Step 4: Simplify right side
    799.98x = 767,117.00
  5. Step 5: Solve for x
    x = 767,117.00/799.98
  6. Step 6: Final answer
    x = 958.92

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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.