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Finding the Fourth Proportional to 580.77, 869.22 and 415.80

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Solution

The fourth proportional to 580.77, 869.22 and 415.80 is: 622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 869.22 = 415.80 : x
  2. Step 2: Convert to fraction form
    580.77/869.22 = 415.80/x
  3. Step 3: Cross multiply
    580.77x = 869.22 × 415.80
  4. Step 4: Simplify right side
    580.77x = 361,421.68
  5. Step 5: Solve for x
    x = 361,421.68/580.77
  6. Step 6: Final answer
    x = 622.31

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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.