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Finding the Fourth Proportional to 855.38, 1,181.04 and 772.16

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Solution

The fourth proportional to 855.38, 1,181.04 and 772.16 is: 1,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.38 : 1,181.04 = 772.16 : x
  2. Step 2: Convert to fraction form
    855.38/1,181.04 = 772.16/x
  3. Step 3: Cross multiply
    855.38x = 1,181.04 × 772.16
  4. Step 4: Simplify right side
    855.38x = 911,951.85
  5. Step 5: Solve for x
    x = 911,951.85/855.38
  6. Step 6: Final answer
    x = 1,066.14

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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.