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Finding the Fourth Proportional to 552.10, 827.19 and 378.56

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Solution

The fourth proportional to 552.10, 827.19 and 378.56 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 827.19 = 378.56 : x
  2. Step 2: Convert to fraction form
    552.10/827.19 = 378.56/x
  3. Step 3: Cross multiply
    552.10x = 827.19 × 378.56
  4. Step 4: Simplify right side
    552.10x = 313,141.05
  5. Step 5: Solve for x
    x = 313,141.05/552.10
  6. Step 6: Final answer
    x = 567.18

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.