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Finding the Fourth Proportional to 827.03, 1,141.09 and 472.85

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Solution

The fourth proportional to 827.03, 1,141.09 and 472.85 is: 652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.03 : 1,141.09 = 472.85 : x
  2. Step 2: Convert to fraction form
    827.03/1,141.09 = 472.85/x
  3. Step 3: Cross multiply
    827.03x = 1,141.09 × 472.85
  4. Step 4: Simplify right side
    827.03x = 539,566.08
  5. Step 5: Solve for x
    x = 539,566.08/827.03
  6. Step 6: Final answer
    x = 652.42

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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.