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Finding the Fourth Proportional to 576.70, 863.03 and 496.51

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Solution

The fourth proportional to 576.70, 863.03 and 496.51 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.70 : 863.03 = 496.51 : x
  2. Step 2: Convert to fraction form
    576.70/863.03 = 496.51/x
  3. Step 3: Cross multiply
    576.70x = 863.03 × 496.51
  4. Step 4: Simplify right side
    576.70x = 428,501.62
  5. Step 5: Solve for x
    x = 428,501.62/576.70
  6. Step 6: Final answer
    x = 743.02

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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.