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Finding the Fourth Proportional to 724.53, 998.51 and 514.72

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Solution

The fourth proportional to 724.53, 998.51 and 514.72 is: 709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.53 : 998.51 = 514.72 : x
  2. Step 2: Convert to fraction form
    724.53/998.51 = 514.72/x
  3. Step 3: Cross multiply
    724.53x = 998.51 × 514.72
  4. Step 4: Simplify right side
    724.53x = 513,953.07
  5. Step 5: Solve for x
    x = 513,953.07/724.53
  6. Step 6: Final answer
    x = 709.36

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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.