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Finding the Fourth Proportional to 827.91, 1,140.86 and 591.44

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Solution

The fourth proportional to 827.91, 1,140.86 and 591.44 is: 815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.91 : 1,140.86 = 591.44 : x
  2. Step 2: Convert to fraction form
    827.91/1,140.86 = 591.44/x
  3. Step 3: Cross multiply
    827.91x = 1,140.86 × 591.44
  4. Step 4: Simplify right side
    827.91x = 674,746.01
  5. Step 5: Solve for x
    x = 674,746.01/827.91
  6. Step 6: Final answer
    x = 815.00

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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.