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Finding the Fourth Proportional to 552.50, 827.85 and 378.57

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Solution

The fourth proportional to 552.50, 827.85 and 378.57 is: 567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.50 : 827.85 = 378.57 : x
  2. Step 2: Convert to fraction form
    552.50/827.85 = 378.57/x
  3. Step 3: Cross multiply
    552.50x = 827.85 × 378.57
  4. Step 4: Simplify right side
    552.50x = 313,403.70
  5. Step 5: Solve for x
    x = 313,403.70/552.50
  6. Step 6: Final answer
    x = 567.25

Related Problems

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Half scale
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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.