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Finding the Fourth Proportional to 822.79, 1,233.54 and 411.72

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Solution

The fourth proportional to 822.79, 1,233.54 and 411.72 is: 617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.79 : 1,233.54 = 411.72 : x
  2. Step 2: Convert to fraction form
    822.79/1,233.54 = 411.72/x
  3. Step 3: Cross multiply
    822.79x = 1,233.54 × 411.72
  4. Step 4: Simplify right side
    822.79x = 507,873.09
  5. Step 5: Solve for x
    x = 507,873.09/822.79
  6. Step 6: Final answer
    x = 617.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.