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Finding the Fourth Proportional to 850.86, 1,164.08 and 847.22

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Solution

The fourth proportional to 850.86, 1,164.08 and 847.22 is: 1,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.86 : 1,164.08 = 847.22 : x
  2. Step 2: Convert to fraction form
    850.86/1,164.08 = 847.22/x
  3. Step 3: Cross multiply
    850.86x = 1,164.08 × 847.22
  4. Step 4: Simplify right side
    850.86x = 986,231.86
  5. Step 5: Solve for x
    x = 986,231.86/850.86
  6. Step 6: Final answer
    x = 1,159.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.