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Finding the Fourth Proportional to 721.61, 994.79 and 514.25

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Solution

The fourth proportional to 721.61, 994.79 and 514.25 is: 708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.61 : 994.79 = 514.25 : x
  2. Step 2: Convert to fraction form
    721.61/994.79 = 514.25/x
  3. Step 3: Cross multiply
    721.61x = 994.79 × 514.25
  4. Step 4: Simplify right side
    721.61x = 511,568.19
  5. Step 5: Solve for x
    x = 511,568.19/721.61
  6. Step 6: Final answer
    x = 708.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.