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Finding the Fourth Proportional to 548.16, 754.14 and 477.87

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Solution

The fourth proportional to 548.16, 754.14 and 477.87 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 754.14 = 477.87 : x
  2. Step 2: Convert to fraction form
    548.16/754.14 = 477.87/x
  3. Step 3: Cross multiply
    548.16x = 754.14 × 477.87
  4. Step 4: Simplify right side
    548.16x = 360,380.88
  5. Step 5: Solve for x
    x = 360,380.88/548.16
  6. Step 6: Final answer
    x = 657.44

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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.