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Finding the Fourth Proportional to 827.99, 1,141.42 and 591.52

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Solution

The fourth proportional to 827.99, 1,141.42 and 591.52 is: 815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.99 : 1,141.42 = 591.52 : x
  2. Step 2: Convert to fraction form
    827.99/1,141.42 = 591.52/x
  3. Step 3: Cross multiply
    827.99x = 1,141.42 × 591.52
  4. Step 4: Simplify right side
    827.99x = 675,172.76
  5. Step 5: Solve for x
    x = 675,172.76/827.99
  6. Step 6: Final answer
    x = 815.44

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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.