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Finding the Fourth Proportional to 827.05, 1,141.17 and 561.71

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Solution

The fourth proportional to 827.05, 1,141.17 and 561.71 is: 775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.05 : 1,141.17 = 561.71 : x
  2. Step 2: Convert to fraction form
    827.05/1,141.17 = 561.71/x
  3. Step 3: Cross multiply
    827.05x = 1,141.17 × 561.71
  4. Step 4: Simplify right side
    827.05x = 641,006.60
  5. Step 5: Solve for x
    x = 641,006.60/827.05
  6. Step 6: Final answer
    x = 775.05

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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.