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Finding the Fourth Proportional to 427.56, 594.12 and 423.11

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Solution

The fourth proportional to 427.56, 594.12 and 423.11 is: 587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.56 : 594.12 = 423.11 : x
  2. Step 2: Convert to fraction form
    427.56/594.12 = 423.11/x
  3. Step 3: Cross multiply
    427.56x = 594.12 × 423.11
  4. Step 4: Simplify right side
    427.56x = 251,375.14
  5. Step 5: Solve for x
    x = 251,375.14/427.56
  6. Step 6: Final answer
    x = 587.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.