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Finding the Fourth Proportional to 1,484.89, 2,227.64 and 444.85

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Solution

The fourth proportional to 1,484.89, 2,227.64 and 444.85 is: 667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.89 : 2,227.64 = 444.85 : x
  2. Step 2: Convert to fraction form
    1,484.89/2,227.64 = 444.85/x
  3. Step 3: Cross multiply
    1,484.89x = 2,227.64 × 444.85
  4. Step 4: Simplify right side
    1,484.89x = 990,952.29
  5. Step 5: Solve for x
    x = 990,952.29/1,484.89
  6. Step 6: Final answer
    x = 667.36

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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.