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Finding the Fourth Proportional to 1,358.91, 2,037.83 and 481.07

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Solution

The fourth proportional to 1,358.91, 2,037.83 and 481.07 is: 721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.91 : 2,037.83 = 481.07 : x
  2. Step 2: Convert to fraction form
    1,358.91/2,037.83 = 481.07/x
  3. Step 3: Cross multiply
    1,358.91x = 2,037.83 × 481.07
  4. Step 4: Simplify right side
    1,358.91x = 980,341.57
  5. Step 5: Solve for x
    x = 980,341.57/1,358.91
  6. Step 6: Final answer
    x = 721.42

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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.