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Finding the Fourth Proportional to 827.42, 1,142.31 and 512.81

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Solution

The fourth proportional to 827.42, 1,142.31 and 512.81 is: 707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.42 : 1,142.31 = 512.81 : x
  2. Step 2: Convert to fraction form
    827.42/1,142.31 = 512.81/x
  3. Step 3: Cross multiply
    827.42x = 1,142.31 × 512.81
  4. Step 4: Simplify right side
    827.42x = 585,787.99
  5. Step 5: Solve for x
    x = 585,787.99/827.42
  6. Step 6: Final answer
    x = 707.97

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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.