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Finding the Fourth Proportional to 839.77, 1,159.62 and 812.23

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Solution

The fourth proportional to 839.77, 1,159.62 and 812.23 is: 1,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.77 : 1,159.62 = 812.23 : x
  2. Step 2: Convert to fraction form
    839.77/1,159.62 = 812.23/x
  3. Step 3: Cross multiply
    839.77x = 1,159.62 × 812.23
  4. Step 4: Simplify right side
    839.77x = 941,872.21
  5. Step 5: Solve for x
    x = 941,872.21/839.77
  6. Step 6: Final answer
    x = 1,121.59

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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.