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Finding the Fourth Proportional to 1,449.36, 2,174.06 and 423.36

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Solution

The fourth proportional to 1,449.36, 2,174.06 and 423.36 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.36 : 2,174.06 = 423.36 : x
  2. Step 2: Convert to fraction form
    1,449.36/2,174.06 = 423.36/x
  3. Step 3: Cross multiply
    1,449.36x = 2,174.06 × 423.36
  4. Step 4: Simplify right side
    1,449.36x = 920,410.04
  5. Step 5: Solve for x
    x = 920,410.04/1,449.36
  6. Step 6: Final answer
    x = 635.05

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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.