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Finding the Fourth Proportional to 822.15, 1,232.87 and 301.98

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Solution

The fourth proportional to 822.15, 1,232.87 and 301.98 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.15 : 1,232.87 = 301.98 : x
  2. Step 2: Convert to fraction form
    822.15/1,232.87 = 301.98/x
  3. Step 3: Cross multiply
    822.15x = 1,232.87 × 301.98
  4. Step 4: Simplify right side
    822.15x = 372,302.84
  5. Step 5: Solve for x
    x = 372,302.84/822.15
  6. Step 6: Final answer
    x = 452.84

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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.