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Finding the Fourth Proportional to 827.13, 1,239.27 and 582.51

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Solution

The fourth proportional to 827.13, 1,239.27 and 582.51 is: 872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.13 : 1,239.27 = 582.51 : x
  2. Step 2: Convert to fraction form
    827.13/1,239.27 = 582.51/x
  3. Step 3: Cross multiply
    827.13x = 1,239.27 × 582.51
  4. Step 4: Simplify right side
    827.13x = 721,887.17
  5. Step 5: Solve for x
    x = 721,887.17/827.13
  6. Step 6: Final answer
    x = 872.76

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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.