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Finding the Fourth Proportional to 914.70, 1,372.14 and 329.75

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Solution

The fourth proportional to 914.70, 1,372.14 and 329.75 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.70 : 1,372.14 = 329.75 : x
  2. Step 2: Convert to fraction form
    914.70/1,372.14 = 329.75/x
  3. Step 3: Cross multiply
    914.70x = 1,372.14 × 329.75
  4. Step 4: Simplify right side
    914.70x = 452,460.17
  5. Step 5: Solve for x
    x = 452,460.17/914.70
  6. Step 6: Final answer
    x = 494.66

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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.