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Finding the Fourth Proportional to 800.30, 1,103.82 and 706.88

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Solution

The fourth proportional to 800.30, 1,103.82 and 706.88 is: 974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.30 : 1,103.82 = 706.88 : x
  2. Step 2: Convert to fraction form
    800.30/1,103.82 = 706.88/x
  3. Step 3: Cross multiply
    800.30x = 1,103.82 × 706.88
  4. Step 4: Simplify right side
    800.30x = 780,268.28
  5. Step 5: Solve for x
    x = 780,268.28/800.30
  6. Step 6: Final answer
    x = 974.97

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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.