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Finding the Fourth Proportional to 822.78, 1,232.60 and 411.44

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Solution

The fourth proportional to 822.78, 1,232.60 and 411.44 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,232.60 = 411.44 : x
  2. Step 2: Convert to fraction form
    822.78/1,232.60 = 411.44/x
  3. Step 3: Cross multiply
    822.78x = 1,232.60 × 411.44
  4. Step 4: Simplify right side
    822.78x = 507,132.72
  5. Step 5: Solve for x
    x = 507,132.72/822.78
  6. Step 6: Final answer
    x = 616.36

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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.