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Finding the Fourth Proportional to 822.69, 1,234.24 and 245.57

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Solution

The fourth proportional to 822.69, 1,234.24 and 245.57 is: 368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.69 : 1,234.24 = 245.57 : x
  2. Step 2: Convert to fraction form
    822.69/1,234.24 = 245.57/x
  3. Step 3: Cross multiply
    822.69x = 1,234.24 × 245.57
  4. Step 4: Simplify right side
    822.69x = 303,085.53
  5. Step 5: Solve for x
    x = 303,085.53/822.69
  6. Step 6: Final answer
    x = 368.41

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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.