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Finding the Fourth Proportional to 822.10, 1,232.24 and 411.58

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Solution

The fourth proportional to 822.10, 1,232.24 and 411.58 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.10 : 1,232.24 = 411.58 : x
  2. Step 2: Convert to fraction form
    822.10/1,232.24 = 411.58/x
  3. Step 3: Cross multiply
    822.10x = 1,232.24 × 411.58
  4. Step 4: Simplify right side
    822.10x = 507,163.28
  5. Step 5: Solve for x
    x = 507,163.28/822.10
  6. Step 6: Final answer
    x = 616.91

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Double scale
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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.