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Finding the Fourth Proportional to 724.37, 998.16 and 500.37

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Solution

The fourth proportional to 724.37, 998.16 and 500.37 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.37 : 998.16 = 500.37 : x
  2. Step 2: Convert to fraction form
    724.37/998.16 = 500.37/x
  3. Step 3: Cross multiply
    724.37x = 998.16 × 500.37
  4. Step 4: Simplify right side
    724.37x = 499,449.32
  5. Step 5: Solve for x
    x = 499,449.32/724.37
  6. Step 6: Final answer
    x = 689.50

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Why These Related Problems?

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