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Finding the Fourth Proportional to 573.63, 860.19 and 261.27

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Solution

The fourth proportional to 573.63, 860.19 and 261.27 is: 391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.63 : 860.19 = 261.27 : x
  2. Step 2: Convert to fraction form
    573.63/860.19 = 261.27/x
  3. Step 3: Cross multiply
    573.63x = 860.19 × 261.27
  4. Step 4: Simplify right side
    573.63x = 224,740.86
  5. Step 5: Solve for x
    x = 224,740.86/573.63
  6. Step 6: Final answer
    x = 391.79

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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.