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Finding the Fourth Proportional to 1,222.61, 1,833.90 and 298.17

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Solution

The fourth proportional to 1,222.61, 1,833.90 and 298.17 is: 447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.61 : 1,833.90 = 298.17 : x
  2. Step 2: Convert to fraction form
    1,222.61/1,833.90 = 298.17/x
  3. Step 3: Cross multiply
    1,222.61x = 1,833.90 × 298.17
  4. Step 4: Simplify right side
    1,222.61x = 546,813.96
  5. Step 5: Solve for x
    x = 546,813.96/1,222.61
  6. Step 6: Final answer
    x = 447.25

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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.