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Finding the Fourth Proportional to 548.56, 826.09 and 477.28

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Solution

The fourth proportional to 548.56, 826.09 and 477.28 is: 718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.56 : 826.09 = 477.28 : x
  2. Step 2: Convert to fraction form
    548.56/826.09 = 477.28/x
  3. Step 3: Cross multiply
    548.56x = 826.09 × 477.28
  4. Step 4: Simplify right side
    548.56x = 394,276.24
  5. Step 5: Solve for x
    x = 394,276.24/548.56
  6. Step 6: Final answer
    x = 718.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.