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Finding the Fourth Proportional to 724.45, 998.71 and 487.98

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Solution

The fourth proportional to 724.45, 998.71 and 487.98 is: 672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.45 : 998.71 = 487.98 : x
  2. Step 2: Convert to fraction form
    724.45/998.71 = 487.98/x
  3. Step 3: Cross multiply
    724.45x = 998.71 × 487.98
  4. Step 4: Simplify right side
    724.45x = 487,350.51
  5. Step 5: Solve for x
    x = 487,350.51/724.45
  6. Step 6: Final answer
    x = 672.72

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1.5x scale

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.