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Finding the Fourth Proportional to 480.44, 716.77 and 411.16

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Solution

The fourth proportional to 480.44, 716.77 and 411.16 is: 613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.44 : 716.77 = 411.16 : x
  2. Step 2: Convert to fraction form
    480.44/716.77 = 411.16/x
  3. Step 3: Cross multiply
    480.44x = 716.77 × 411.16
  4. Step 4: Simplify right side
    480.44x = 294,707.15
  5. Step 5: Solve for x
    x = 294,707.15/480.44
  6. Step 6: Final answer
    x = 613.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.