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Finding the Fourth Proportional to 827.50, 1,143.19 and 544.59

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Solution

The fourth proportional to 827.50, 1,143.19 and 544.59 is: 752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.50 : 1,143.19 = 544.59 : x
  2. Step 2: Convert to fraction form
    827.50/1,143.19 = 544.59/x
  3. Step 3: Cross multiply
    827.50x = 1,143.19 × 544.59
  4. Step 4: Simplify right side
    827.50x = 622,564.17
  5. Step 5: Solve for x
    x = 622,564.17/827.50
  6. Step 6: Final answer
    x = 752.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.