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Finding the Fourth Proportional to 724.44, 1,084.59 and 480.48

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Solution

The fourth proportional to 724.44, 1,084.59 and 480.48 is: 719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.44 : 1,084.59 = 480.48 : x
  2. Step 2: Convert to fraction form
    724.44/1,084.59 = 480.48/x
  3. Step 3: Cross multiply
    724.44x = 1,084.59 × 480.48
  4. Step 4: Simplify right side
    724.44x = 521,123.80
  5. Step 5: Solve for x
    x = 521,123.80/724.44
  6. Step 6: Final answer
    x = 719.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.