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Finding the Fourth Proportional to 822.18, 1,232.31 and 456.42

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Solution

The fourth proportional to 822.18, 1,232.31 and 456.42 is: 684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.18 : 1,232.31 = 456.42 : x
  2. Step 2: Convert to fraction form
    822.18/1,232.31 = 456.42/x
  3. Step 3: Cross multiply
    822.18x = 1,232.31 × 456.42
  4. Step 4: Simplify right side
    822.18x = 562,450.93
  5. Step 5: Solve for x
    x = 562,450.93/822.18
  6. Step 6: Final answer
    x = 684.10

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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.