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Finding the Fourth Proportional to 827.72, 1,141.76 and 729.72

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Solution

The fourth proportional to 827.72, 1,141.76 and 729.72 is: 1,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,141.76 = 729.72 : x
  2. Step 2: Convert to fraction form
    827.72/1,141.76 = 729.72/x
  3. Step 3: Cross multiply
    827.72x = 1,141.76 × 729.72
  4. Step 4: Simplify right side
    827.72x = 833,165.11
  5. Step 5: Solve for x
    x = 833,165.11/827.72
  6. Step 6: Final answer
    x = 1,006.58

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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.