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Finding the Fourth Proportional to 480.54, 716.42 and 444.42

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Solution

The fourth proportional to 480.54, 716.42 and 444.42 is: 662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.54 : 716.42 = 444.42 : x
  2. Step 2: Convert to fraction form
    480.54/716.42 = 444.42/x
  3. Step 3: Cross multiply
    480.54x = 716.42 × 444.42
  4. Step 4: Simplify right side
    480.54x = 318,389.15
  5. Step 5: Solve for x
    x = 318,389.15/480.54
  6. Step 6: Final answer
    x = 662.57

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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.