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Finding the Fourth Proportional to 664.24, 914.60 and 580.86

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Solution

The fourth proportional to 664.24, 914.60 and 580.86 is: 799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.24 : 914.60 = 580.86 : x
  2. Step 2: Convert to fraction form
    664.24/914.60 = 580.86/x
  3. Step 3: Cross multiply
    664.24x = 914.60 × 580.86
  4. Step 4: Simplify right side
    664.24x = 531,254.56
  5. Step 5: Solve for x
    x = 531,254.56/664.24
  6. Step 6: Final answer
    x = 799.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.