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Finding the Fourth Proportional to 822.15, 1,231.56 and 410.67

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Solution

The fourth proportional to 822.15, 1,231.56 and 410.67 is: 615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.15 : 1,231.56 = 410.67 : x
  2. Step 2: Convert to fraction form
    822.15/1,231.56 = 410.67/x
  3. Step 3: Cross multiply
    822.15x = 1,231.56 × 410.67
  4. Step 4: Simplify right side
    822.15x = 505,764.75
  5. Step 5: Solve for x
    x = 505,764.75/822.15
  6. Step 6: Final answer
    x = 615.17

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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.