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Finding the Fourth Proportional to 480.70, 720.47 and 275.41

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Solution

The fourth proportional to 480.70, 720.47 and 275.41 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.70 : 720.47 = 275.41 : x
  2. Step 2: Convert to fraction form
    480.70/720.47 = 275.41/x
  3. Step 3: Cross multiply
    480.70x = 720.47 × 275.41
  4. Step 4: Simplify right side
    480.70x = 198,421.04
  5. Step 5: Solve for x
    x = 198,421.04/480.70
  6. Step 6: Final answer
    x = 412.78

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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.