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Finding the Fourth Proportional to 761.91, 1,141.65 and 579.09

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Solution

The fourth proportional to 761.91, 1,141.65 and 579.09 is: 867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.91 : 1,141.65 = 579.09 : x
  2. Step 2: Convert to fraction form
    761.91/1,141.65 = 579.09/x
  3. Step 3: Cross multiply
    761.91x = 1,141.65 × 579.09
  4. Step 4: Simplify right side
    761.91x = 661,118.10
  5. Step 5: Solve for x
    x = 661,118.10/761.91
  6. Step 6: Final answer
    x = 867.71

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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.