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Finding the Fourth Proportional to 580.56, 795.37 and 558.69

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Solution

The fourth proportional to 580.56, 795.37 and 558.69 is: 765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 795.37 = 558.69 : x
  2. Step 2: Convert to fraction form
    580.56/795.37 = 558.69/x
  3. Step 3: Cross multiply
    580.56x = 795.37 × 558.69
  4. Step 4: Simplify right side
    580.56x = 444,365.27
  5. Step 5: Solve for x
    x = 444,365.27/580.56
  6. Step 6: Final answer
    x = 765.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.