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Finding the Fourth Proportional to 558.08, 765.76 and 548.36

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Solution

The fourth proportional to 558.08, 765.76 and 548.36 is: 752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.08 : 765.76 = 548.36 : x
  2. Step 2: Convert to fraction form
    558.08/765.76 = 548.36/x
  3. Step 3: Cross multiply
    558.08x = 765.76 × 548.36
  4. Step 4: Simplify right side
    558.08x = 419,912.15
  5. Step 5: Solve for x
    x = 419,912.15/558.08
  6. Step 6: Final answer
    x = 752.42

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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.