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Finding the Fourth Proportional to 936.48, 1,404.87 and 320.25

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Solution

The fourth proportional to 936.48, 1,404.87 and 320.25 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.48 : 1,404.87 = 320.25 : x
  2. Step 2: Convert to fraction form
    936.48/1,404.87 = 320.25/x
  3. Step 3: Cross multiply
    936.48x = 1,404.87 × 320.25
  4. Step 4: Simplify right side
    936.48x = 449,909.62
  5. Step 5: Solve for x
    x = 449,909.62/936.48
  6. Step 6: Final answer
    x = 480.43

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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.