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Finding the Fourth Proportional to 573.73, 860.87 and 265.43

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Solution

The fourth proportional to 573.73, 860.87 and 265.43 is: 398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.73 : 860.87 = 265.43 : x
  2. Step 2: Convert to fraction form
    573.73/860.87 = 265.43/x
  3. Step 3: Cross multiply
    573.73x = 860.87 × 265.43
  4. Step 4: Simplify right side
    573.73x = 228,500.72
  5. Step 5: Solve for x
    x = 228,500.72/573.73
  6. Step 6: Final answer
    x = 398.27

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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.