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Finding the Fourth Proportional to 827.32, 1,141.77 and 679.54

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Solution

The fourth proportional to 827.32, 1,141.77 and 679.54 is: 937.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.32 : 1,141.77 = 679.54 : x
  2. Step 2: Convert to fraction form
    827.32/1,141.77 = 679.54/x
  3. Step 3: Cross multiply
    827.32x = 1,141.77 × 679.54
  4. Step 4: Simplify right side
    827.32x = 775,878.39
  5. Step 5: Solve for x
    x = 775,878.39/827.32
  6. Step 6: Final answer
    x = 937.82

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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.