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Finding the Fourth Proportional to 1,204.03, 1,805.91 and 423.87

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Solution

The fourth proportional to 1,204.03, 1,805.91 and 423.87 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.03 : 1,805.91 = 423.87 : x
  2. Step 2: Convert to fraction form
    1,204.03/1,805.91 = 423.87/x
  3. Step 3: Cross multiply
    1,204.03x = 1,805.91 × 423.87
  4. Step 4: Simplify right side
    1,204.03x = 765,462.04
  5. Step 5: Solve for x
    x = 765,462.04/1,204.03
  6. Step 6: Final answer
    x = 635.75

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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.