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Finding the Fourth Proportional to 827.78, 1,142.43 and 513.02

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Solution

The fourth proportional to 827.78, 1,142.43 and 513.02 is: 708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.78 : 1,142.43 = 513.02 : x
  2. Step 2: Convert to fraction form
    827.78/1,142.43 = 513.02/x
  3. Step 3: Cross multiply
    827.78x = 1,142.43 × 513.02
  4. Step 4: Simplify right side
    827.78x = 586,089.44
  5. Step 5: Solve for x
    x = 586,089.44/827.78
  6. Step 6: Final answer
    x = 708.03

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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.