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Finding the Fourth Proportional to 761.23, 1,141.64 and 213.43

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Solution

The fourth proportional to 761.23, 1,141.64 and 213.43 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.23 : 1,141.64 = 213.43 : x
  2. Step 2: Convert to fraction form
    761.23/1,141.64 = 213.43/x
  3. Step 3: Cross multiply
    761.23x = 1,141.64 × 213.43
  4. Step 4: Simplify right side
    761.23x = 243,660.23
  5. Step 5: Solve for x
    x = 243,660.23/761.23
  6. Step 6: Final answer
    x = 320.09

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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.