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Finding the Fourth Proportional to 811.08, 1,124.82 and 781.92

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Solution

The fourth proportional to 811.08, 1,124.82 and 781.92 is: 1,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.08 : 1,124.82 = 781.92 : x
  2. Step 2: Convert to fraction form
    811.08/1,124.82 = 781.92/x
  3. Step 3: Cross multiply
    811.08x = 1,124.82 × 781.92
  4. Step 4: Simplify right side
    811.08x = 879,519.25
  5. Step 5: Solve for x
    x = 879,519.25/811.08
  6. Step 6: Final answer
    x = 1,084.38

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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.