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Finding the Fourth Proportional to 1,246.56, 1,869.86 and 380.88

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Solution

The fourth proportional to 1,246.56, 1,869.86 and 380.88 is: 571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.56 : 1,869.86 = 380.88 : x
  2. Step 2: Convert to fraction form
    1,246.56/1,869.86 = 380.88/x
  3. Step 3: Cross multiply
    1,246.56x = 1,869.86 × 380.88
  4. Step 4: Simplify right side
    1,246.56x = 712,192.28
  5. Step 5: Solve for x
    x = 712,192.28/1,246.56
  6. Step 6: Final answer
    x = 571.33

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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.