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Finding the Fourth Proportional to 548.36, 760.32 and 519.20

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Solution

The fourth proportional to 548.36, 760.32 and 519.20 is: 719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.36 : 760.32 = 519.20 : x
  2. Step 2: Convert to fraction form
    548.36/760.32 = 519.20/x
  3. Step 3: Cross multiply
    548.36x = 760.32 × 519.20
  4. Step 4: Simplify right side
    548.36x = 394,758.14
  5. Step 5: Solve for x
    x = 394,758.14/548.36
  6. Step 6: Final answer
    x = 719.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.