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Finding the Fourth Proportional to 580.83, 871.21 and 406.99

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Solution

The fourth proportional to 580.83, 871.21 and 406.99 is: 610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.83 : 871.21 = 406.99 : x
  2. Step 2: Convert to fraction form
    580.83/871.21 = 406.99/x
  3. Step 3: Cross multiply
    580.83x = 871.21 × 406.99
  4. Step 4: Simplify right side
    580.83x = 354,573.76
  5. Step 5: Solve for x
    x = 354,573.76/580.83
  6. Step 6: Final answer
    x = 610.46

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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.