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Finding the Fourth Proportional to 827.82, 1,142.63 and 513.18

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Solution

The fourth proportional to 827.82, 1,142.63 and 513.18 is: 708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.82 : 1,142.63 = 513.18 : x
  2. Step 2: Convert to fraction form
    827.82/1,142.63 = 513.18/x
  3. Step 3: Cross multiply
    827.82x = 1,142.63 × 513.18
  4. Step 4: Simplify right side
    827.82x = 586,374.86
  5. Step 5: Solve for x
    x = 586,374.86/827.82
  6. Step 6: Final answer
    x = 708.34

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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.