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Finding the Fourth Proportional to 1,005.09, 1,508.17 and 380.81

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Solution

The fourth proportional to 1,005.09, 1,508.17 and 380.81 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.09 : 1,508.17 = 380.81 : x
  2. Step 2: Convert to fraction form
    1,005.09/1,508.17 = 380.81/x
  3. Step 3: Cross multiply
    1,005.09x = 1,508.17 × 380.81
  4. Step 4: Simplify right side
    1,005.09x = 574,326.22
  5. Step 5: Solve for x
    x = 574,326.22/1,005.09
  6. Step 6: Final answer
    x = 571.42

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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.