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Finding the Fourth Proportional to 827.41, 1,138.20 and 692.09

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Solution

The fourth proportional to 827.41, 1,138.20 and 692.09 is: 952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.41 : 1,138.20 = 692.09 : x
  2. Step 2: Convert to fraction form
    827.41/1,138.20 = 692.09/x
  3. Step 3: Cross multiply
    827.41x = 1,138.20 × 692.09
  4. Step 4: Simplify right side
    827.41x = 787,733.38
  5. Step 5: Solve for x
    x = 787,733.38/827.41
  6. Step 6: Final answer
    x = 952.05

Related Problems

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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.