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Finding the Fourth Proportional to 855.12, 1,188.24 and 846.21

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Solution

The fourth proportional to 855.12, 1,188.24 and 846.21 is: 1,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.12 : 1,188.24 = 846.21 : x
  2. Step 2: Convert to fraction form
    855.12/1,188.24 = 846.21/x
  3. Step 3: Cross multiply
    855.12x = 1,188.24 × 846.21
  4. Step 4: Simplify right side
    855.12x = 1,005,500.57
  5. Step 5: Solve for x
    x = 1,005,500.57/855.12
  6. Step 6: Final answer
    x = 1,175.86

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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.