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Finding the Fourth Proportional to 905.76, 1,247.76 and 850.08

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Solution

The fourth proportional to 905.76, 1,247.76 and 850.08 is: 1,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.76 : 1,247.76 = 850.08 : x
  2. Step 2: Convert to fraction form
    905.76/1,247.76 = 850.08/x
  3. Step 3: Cross multiply
    905.76x = 1,247.76 × 850.08
  4. Step 4: Simplify right side
    905.76x = 1,060,695.82
  5. Step 5: Solve for x
    x = 1,060,695.82/905.76
  6. Step 6: Final answer
    x = 1,171.06

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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.