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Finding the Fourth Proportional to 548.16, 755.58 and 523.86

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Solution

The fourth proportional to 548.16, 755.58 and 523.86 is: 722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.16 : 755.58 = 523.86 : x
  2. Step 2: Convert to fraction form
    548.16/755.58 = 523.86/x
  3. Step 3: Cross multiply
    548.16x = 755.58 × 523.86
  4. Step 4: Simplify right side
    548.16x = 395,818.14
  5. Step 5: Solve for x
    x = 395,818.14/548.16
  6. Step 6: Final answer
    x = 722.09

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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.