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Finding the Fourth Proportional to 827.64, 1,142.18 and 513.08

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Solution

The fourth proportional to 827.64, 1,142.18 and 513.08 is: 708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.64 : 1,142.18 = 513.08 : x
  2. Step 2: Convert to fraction form
    827.64/1,142.18 = 513.08/x
  3. Step 3: Cross multiply
    827.64x = 1,142.18 × 513.08
  4. Step 4: Simplify right side
    827.64x = 586,029.71
  5. Step 5: Solve for x
    x = 586,029.71/827.64
  6. Step 6: Final answer
    x = 708.07

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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.