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Finding the Fourth Proportional to 1,475.99, 2,213.90 and 380.41

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Solution

The fourth proportional to 1,475.99, 2,213.90 and 380.41 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.99 : 2,213.90 = 380.41 : x
  2. Step 2: Convert to fraction form
    1,475.99/2,213.90 = 380.41/x
  3. Step 3: Cross multiply
    1,475.99x = 2,213.90 × 380.41
  4. Step 4: Simplify right side
    1,475.99x = 842,183.69
  5. Step 5: Solve for x
    x = 842,183.69/1,475.99
  6. Step 6: Final answer
    x = 570.59

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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.