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Finding the Fourth Proportional to 839.17, 1,159.49 and 809.60

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Solution

The fourth proportional to 839.17, 1,159.49 and 809.60 is: 1,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.17 : 1,159.49 = 809.60 : x
  2. Step 2: Convert to fraction form
    839.17/1,159.49 = 809.60/x
  3. Step 3: Cross multiply
    839.17x = 1,159.49 × 809.60
  4. Step 4: Simplify right side
    839.17x = 938,723.10
  5. Step 5: Solve for x
    x = 938,723.10/839.17
  6. Step 6: Final answer
    x = 1,118.63

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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.