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Finding the Fourth Proportional to 1,213.61, 1,821.02 and 484.61

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Solution

The fourth proportional to 1,213.61, 1,821.02 and 484.61 is: 727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.61 : 1,821.02 = 484.61 : x
  2. Step 2: Convert to fraction form
    1,213.61/1,821.02 = 484.61/x
  3. Step 3: Cross multiply
    1,213.61x = 1,821.02 × 484.61
  4. Step 4: Simplify right side
    1,213.61x = 882,472.97
  5. Step 5: Solve for x
    x = 882,472.97/1,213.61
  6. Step 6: Final answer
    x = 727.15

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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.