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Finding the Fourth Proportional to 761.41, 1,141.66 and 298.64

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Solution

The fourth proportional to 761.41, 1,141.66 and 298.64 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.41 : 1,141.66 = 298.64 : x
  2. Step 2: Convert to fraction form
    761.41/1,141.66 = 298.64/x
  3. Step 3: Cross multiply
    761.41x = 1,141.66 × 298.64
  4. Step 4: Simplify right side
    761.41x = 340,945.34
  5. Step 5: Solve for x
    x = 340,945.34/761.41
  6. Step 6: Final answer
    x = 447.78

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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.