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Finding the Fourth Proportional to 901.08, 1,236.78 and 800.64

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Solution

The fourth proportional to 901.08, 1,236.78 and 800.64 is: 1,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.08 : 1,236.78 = 800.64 : x
  2. Step 2: Convert to fraction form
    901.08/1,236.78 = 800.64/x
  3. Step 3: Cross multiply
    901.08x = 1,236.78 × 800.64
  4. Step 4: Simplify right side
    901.08x = 990,215.54
  5. Step 5: Solve for x
    x = 990,215.54/901.08
  6. Step 6: Final answer
    x = 1,098.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.