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Finding the Fourth Proportional to 609.25, 914.48 and 320.69

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Solution

The fourth proportional to 609.25, 914.48 and 320.69 is: 481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.25 : 914.48 = 320.69 : x
  2. Step 2: Convert to fraction form
    609.25/914.48 = 320.69/x
  3. Step 3: Cross multiply
    609.25x = 914.48 × 320.69
  4. Step 4: Simplify right side
    609.25x = 293,264.59
  5. Step 5: Solve for x
    x = 293,264.59/609.25
  6. Step 6: Final answer
    x = 481.35

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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.