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Finding the Fourth Proportional to 761.75, 1,141.34 and 663.15

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Solution

The fourth proportional to 761.75, 1,141.34 and 663.15 is: 993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,141.34 = 663.15 : x
  2. Step 2: Convert to fraction form
    761.75/1,141.34 = 663.15/x
  3. Step 3: Cross multiply
    761.75x = 1,141.34 × 663.15
  4. Step 4: Simplify right side
    761.75x = 756,879.62
  5. Step 5: Solve for x
    x = 756,879.62/761.75
  6. Step 6: Final answer
    x = 993.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.