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Finding the Fourth Proportional to 573.14, 857.66 and 496.37

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Solution

The fourth proportional to 573.14, 857.66 and 496.37 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.14 : 857.66 = 496.37 : x
  2. Step 2: Convert to fraction form
    573.14/857.66 = 496.37/x
  3. Step 3: Cross multiply
    573.14x = 857.66 × 496.37
  4. Step 4: Simplify right side
    573.14x = 425,716.69
  5. Step 5: Solve for x
    x = 425,716.69/573.14
  6. Step 6: Final answer
    x = 742.78

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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.