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Finding the Fourth Proportional to 765.90, 1,141.22 and 684.11

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Solution

The fourth proportional to 765.90, 1,141.22 and 684.11 is: 1,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.90 : 1,141.22 = 684.11 : x
  2. Step 2: Convert to fraction form
    765.90/1,141.22 = 684.11/x
  3. Step 3: Cross multiply
    765.90x = 1,141.22 × 684.11
  4. Step 4: Simplify right side
    765.90x = 780,724.58
  5. Step 5: Solve for x
    x = 780,724.58/765.90
  6. Step 6: Final answer
    x = 1,019.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.