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Finding the Fourth Proportional to 798.81, 1,102.87 and 611.96

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Solution

The fourth proportional to 798.81, 1,102.87 and 611.96 is: 844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.81 : 1,102.87 = 611.96 : x
  2. Step 2: Convert to fraction form
    798.81/1,102.87 = 611.96/x
  3. Step 3: Cross multiply
    798.81x = 1,102.87 × 611.96
  4. Step 4: Simplify right side
    798.81x = 674,904.13
  5. Step 5: Solve for x
    x = 674,904.13/798.81
  6. Step 6: Final answer
    x = 844.88

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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.