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Finding the Fourth Proportional to 480.43, 720.23 and 407.78

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Solution

The fourth proportional to 480.43, 720.23 and 407.78 is: 611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.43 : 720.23 = 407.78 : x
  2. Step 2: Convert to fraction form
    480.43/720.23 = 407.78/x
  3. Step 3: Cross multiply
    480.43x = 720.23 × 407.78
  4. Step 4: Simplify right side
    480.43x = 293,695.39
  5. Step 5: Solve for x
    x = 293,695.39/480.43
  6. Step 6: Final answer
    x = 611.32

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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.