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Finding the Fourth Proportional to 724.99, 1,086.74 and 286.07

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Solution

The fourth proportional to 724.99, 1,086.74 and 286.07 is: 428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.99 : 1,086.74 = 286.07 : x
  2. Step 2: Convert to fraction form
    724.99/1,086.74 = 286.07/x
  3. Step 3: Cross multiply
    724.99x = 1,086.74 × 286.07
  4. Step 4: Simplify right side
    724.99x = 310,879.53
  5. Step 5: Solve for x
    x = 310,879.53/724.99
  6. Step 6: Final answer
    x = 428.81

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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.