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Finding the Fourth Proportional to 811.72, 1,124.59 and 794.44

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Solution

The fourth proportional to 811.72, 1,124.59 and 794.44 is: 1,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.72 : 1,124.59 = 794.44 : x
  2. Step 2: Convert to fraction form
    811.72/1,124.59 = 794.44/x
  3. Step 3: Cross multiply
    811.72x = 1,124.59 × 794.44
  4. Step 4: Simplify right side
    811.72x = 893,419.28
  5. Step 5: Solve for x
    x = 893,419.28/811.72
  6. Step 6: Final answer
    x = 1,100.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.