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Finding the Fourth Proportional to 724.79, 1,087.19 and 204.81

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Solution

The fourth proportional to 724.79, 1,087.19 and 204.81 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.79 : 1,087.19 = 204.81 : x
  2. Step 2: Convert to fraction form
    724.79/1,087.19 = 204.81/x
  3. Step 3: Cross multiply
    724.79x = 1,087.19 × 204.81
  4. Step 4: Simplify right side
    724.79x = 222,661.44
  5. Step 5: Solve for x
    x = 222,661.44/724.79
  6. Step 6: Final answer
    x = 307.21

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Why These Related Problems?

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