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Finding the Fourth Proportional to 914.05, 1,372.26 and 427.42

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Solution

The fourth proportional to 914.05, 1,372.26 and 427.42 is: 641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.05 : 1,372.26 = 427.42 : x
  2. Step 2: Convert to fraction form
    914.05/1,372.26 = 427.42/x
  3. Step 3: Cross multiply
    914.05x = 1,372.26 × 427.42
  4. Step 4: Simplify right side
    914.05x = 586,531.37
  5. Step 5: Solve for x
    x = 586,531.37/914.05
  6. Step 6: Final answer
    x = 641.68

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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.