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Finding the Fourth Proportional to 827.18, 1,238.91 and 592.48

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Solution

The fourth proportional to 827.18, 1,238.91 and 592.48 is: 887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.18 : 1,238.91 = 592.48 : x
  2. Step 2: Convert to fraction form
    827.18/1,238.91 = 592.48/x
  3. Step 3: Cross multiply
    827.18x = 1,238.91 × 592.48
  4. Step 4: Simplify right side
    827.18x = 734,029.40
  5. Step 5: Solve for x
    x = 734,029.40/827.18
  6. Step 6: Final answer
    x = 887.39

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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.