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Finding the Fourth Proportional to 914.75, 1,372.26 and 401.75

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Solution

The fourth proportional to 914.75, 1,372.26 and 401.75 is: 602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.75 : 1,372.26 = 401.75 : x
  2. Step 2: Convert to fraction form
    914.75/1,372.26 = 401.75/x
  3. Step 3: Cross multiply
    914.75x = 1,372.26 × 401.75
  4. Step 4: Simplify right side
    914.75x = 551,305.46
  5. Step 5: Solve for x
    x = 551,305.46/914.75
  6. Step 6: Final answer
    x = 602.68

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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.