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Finding the Fourth Proportional to 480.75, 720.38 and 233.69

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Solution

The fourth proportional to 480.75, 720.38 and 233.69 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.75 : 720.38 = 233.69 : x
  2. Step 2: Convert to fraction form
    480.75/720.38 = 233.69/x
  3. Step 3: Cross multiply
    480.75x = 720.38 × 233.69
  4. Step 4: Simplify right side
    480.75x = 168,342.58
  5. Step 5: Solve for x
    x = 168,342.58/480.75
  6. Step 6: Final answer
    x = 350.17

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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.