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Finding the Fourth Proportional to 481.28, 716.28 and 478.40

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Solution

The fourth proportional to 481.28, 716.28 and 478.40 is: 711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.28 : 716.28 = 478.40 : x
  2. Step 2: Convert to fraction form
    481.28/716.28 = 478.40/x
  3. Step 3: Cross multiply
    481.28x = 716.28 × 478.40
  4. Step 4: Simplify right side
    481.28x = 342,668.35
  5. Step 5: Solve for x
    x = 342,668.35/481.28
  6. Step 6: Final answer
    x = 711.99

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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.