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Finding the Fourth Proportional to 1,003.11, 1,505.45 and 447.62

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Solution

The fourth proportional to 1,003.11, 1,505.45 and 447.62 is: 671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.11 : 1,505.45 = 447.62 : x
  2. Step 2: Convert to fraction form
    1,003.11/1,505.45 = 447.62/x
  3. Step 3: Cross multiply
    1,003.11x = 1,505.45 × 447.62
  4. Step 4: Simplify right side
    1,003.11x = 673,859.76
  5. Step 5: Solve for x
    x = 673,859.76/1,003.11
  6. Step 6: Final answer
    x = 671.77

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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.