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Finding the Fourth Proportional to 827.94, 1,142.91 and 513.19

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Solution

The fourth proportional to 827.94, 1,142.91 and 513.19 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.94 : 1,142.91 = 513.19 : x
  2. Step 2: Convert to fraction form
    827.94/1,142.91 = 513.19/x
  3. Step 3: Cross multiply
    827.94x = 1,142.91 × 513.19
  4. Step 4: Simplify right side
    827.94x = 586,529.98
  5. Step 5: Solve for x
    x = 586,529.98/827.94
  6. Step 6: Final answer
    x = 708.42

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Half scale
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Double scale
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1.5x scale

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.