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Finding the Fourth Proportional to 724.08, 1,086.06 and 334

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Solution

The fourth proportional to 724.08, 1,086.06 and 334 is: 500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.08 : 1,086.06 = 334 : x
  2. Step 2: Convert to fraction form
    724.08/1,086.06 = 334/x
  3. Step 3: Cross multiply
    724.08x = 1,086.06 × 334
  4. Step 4: Simplify right side
    724.08x = 362,744.04
  5. Step 5: Solve for x
    x = 362,744.04/724.08
  6. Step 6: Final answer
    x = 500.97

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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.