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Finding the Fourth Proportional to 1,008.96, 1,393.28 and 811.84

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Solution

The fourth proportional to 1,008.96, 1,393.28 and 811.84 is: 1,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.96 : 1,393.28 = 811.84 : x
  2. Step 2: Convert to fraction form
    1,008.96/1,393.28 = 811.84/x
  3. Step 3: Cross multiply
    1,008.96x = 1,393.28 × 811.84
  4. Step 4: Simplify right side
    1,008.96x = 1,131,120.44
  5. Step 5: Solve for x
    x = 1,131,120.44/1,008.96
  6. Step 6: Final answer
    x = 1,121.08

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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.