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Finding the Fourth Proportional to 822.18, 1,231.68 and 410.31

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Solution

The fourth proportional to 822.18, 1,231.68 and 410.31 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.18 : 1,231.68 = 410.31 : x
  2. Step 2: Convert to fraction form
    822.18/1,231.68 = 410.31/x
  3. Step 3: Cross multiply
    822.18x = 1,231.68 × 410.31
  4. Step 4: Simplify right side
    822.18x = 505,370.62
  5. Step 5: Solve for x
    x = 505,370.62/822.18
  6. Step 6: Final answer
    x = 614.67

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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.