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Finding the Fourth Proportional to 822.72, 1,233.09 and 411.96

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Solution

The fourth proportional to 822.72, 1,233.09 and 411.96 is: 617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.72 : 1,233.09 = 411.96 : x
  2. Step 2: Convert to fraction form
    822.72/1,233.09 = 411.96/x
  3. Step 3: Cross multiply
    822.72x = 1,233.09 × 411.96
  4. Step 4: Simplify right side
    822.72x = 507,983.76
  5. Step 5: Solve for x
    x = 507,983.76/822.72
  6. Step 6: Final answer
    x = 617.44

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.