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Finding the Fourth Proportional to 1,204.23, 1,805.28 and 423.75

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Solution

The fourth proportional to 1,204.23, 1,805.28 and 423.75 is: 635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.23 : 1,805.28 = 423.75 : x
  2. Step 2: Convert to fraction form
    1,204.23/1,805.28 = 423.75/x
  3. Step 3: Cross multiply
    1,204.23x = 1,805.28 × 423.75
  4. Step 4: Simplify right side
    1,204.23x = 764,987.40
  5. Step 5: Solve for x
    x = 764,987.40/1,204.23
  6. Step 6: Final answer
    x = 635.25

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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.