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Finding the Fourth Proportional to 480.66, 716.46 and 428.33

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Solution

The fourth proportional to 480.66, 716.46 and 428.33 is: 638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.66 : 716.46 = 428.33 : x
  2. Step 2: Convert to fraction form
    480.66/716.46 = 428.33/x
  3. Step 3: Cross multiply
    480.66x = 716.46 × 428.33
  4. Step 4: Simplify right side
    480.66x = 306,877.73
  5. Step 5: Solve for x
    x = 306,877.73/480.66
  6. Step 6: Final answer
    x = 638.45

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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.