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Finding the Fourth Proportional to 1,449.45, 2,174.13 and 353.79

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Solution

The fourth proportional to 1,449.45, 2,174.13 and 353.79 is: 530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.45 : 2,174.13 = 353.79 : x
  2. Step 2: Convert to fraction form
    1,449.45/2,174.13 = 353.79/x
  3. Step 3: Cross multiply
    1,449.45x = 2,174.13 × 353.79
  4. Step 4: Simplify right side
    1,449.45x = 769,185.45
  5. Step 5: Solve for x
    x = 769,185.45/1,449.45
  6. Step 6: Final answer
    x = 530.67

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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.