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Finding the Fourth Proportional to 839.69, 1,158.11 and 783.80

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Solution

The fourth proportional to 839.69, 1,158.11 and 783.80 is: 1,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.69 : 1,158.11 = 783.80 : x
  2. Step 2: Convert to fraction form
    839.69/1,158.11 = 783.80/x
  3. Step 3: Cross multiply
    839.69x = 1,158.11 × 783.80
  4. Step 4: Simplify right side
    839.69x = 907,716.91
  5. Step 5: Solve for x
    x = 907,716.91/839.69
  6. Step 6: Final answer
    x = 1,081.02

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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.