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Finding the Fourth Proportional to 822.67, 1,233.36 and 411.60

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Solution

The fourth proportional to 822.67, 1,233.36 and 411.60 is: 617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.67 : 1,233.36 = 411.60 : x
  2. Step 2: Convert to fraction form
    822.67/1,233.36 = 411.60/x
  3. Step 3: Cross multiply
    822.67x = 1,233.36 × 411.60
  4. Step 4: Simplify right side
    822.67x = 507,650.98
  5. Step 5: Solve for x
    x = 507,650.98/822.67
  6. Step 6: Final answer
    x = 617.08

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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.