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Finding the Fourth Proportional to 573.83, 860.78 and 249.22

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Solution

The fourth proportional to 573.83, 860.78 and 249.22 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.83 : 860.78 = 249.22 : x
  2. Step 2: Convert to fraction form
    573.83/860.78 = 249.22/x
  3. Step 3: Cross multiply
    573.83x = 860.78 × 249.22
  4. Step 4: Simplify right side
    573.83x = 214,523.59
  5. Step 5: Solve for x
    x = 214,523.59/573.83
  6. Step 6: Final answer
    x = 373.85

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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.