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Finding the Fourth Proportional to 480.72, 719.46 and 408.36

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Solution

The fourth proportional to 480.72, 719.46 and 408.36 is: 611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.72 : 719.46 = 408.36 : x
  2. Step 2: Convert to fraction form
    480.72/719.46 = 408.36/x
  3. Step 3: Cross multiply
    480.72x = 719.46 × 408.36
  4. Step 4: Simplify right side
    480.72x = 293,798.69
  5. Step 5: Solve for x
    x = 293,798.69/480.72
  6. Step 6: Final answer
    x = 611.16

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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.