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Finding the Fourth Proportional to 827.17, 1,231.76 and 818.08

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Solution

The fourth proportional to 827.17, 1,231.76 and 818.08 is: 1,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.17 : 1,231.76 = 818.08 : x
  2. Step 2: Convert to fraction form
    827.17/1,231.76 = 818.08/x
  3. Step 3: Cross multiply
    827.17x = 1,231.76 × 818.08
  4. Step 4: Simplify right side
    827.17x = 1,007,678.22
  5. Step 5: Solve for x
    x = 1,007,678.22/827.17
  6. Step 6: Final answer
    x = 1,218.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.