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Finding the Fourth Proportional to 1,222.42, 1,833.62 and 297.97

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Solution

The fourth proportional to 1,222.42, 1,833.62 and 297.97 is: 446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.42 : 1,833.62 = 297.97 : x
  2. Step 2: Convert to fraction form
    1,222.42/1,833.62 = 297.97/x
  3. Step 3: Cross multiply
    1,222.42x = 1,833.62 × 297.97
  4. Step 4: Simplify right side
    1,222.42x = 546,354.58
  5. Step 5: Solve for x
    x = 546,354.58/1,222.42
  6. Step 6: Final answer
    x = 446.95

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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.