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Finding the Fourth Proportional to 573.70, 863.92 and 501.43

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Solution

The fourth proportional to 573.70, 863.92 and 501.43 is: 755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.70 : 863.92 = 501.43 : x
  2. Step 2: Convert to fraction form
    573.70/863.92 = 501.43/x
  3. Step 3: Cross multiply
    573.70x = 863.92 × 501.43
  4. Step 4: Simplify right side
    573.70x = 433,195.41
  5. Step 5: Solve for x
    x = 433,195.41/573.70
  6. Step 6: Final answer
    x = 755.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.