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Finding the Fourth Proportional to 548.84, 758.20 and 438.18

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Solution

The fourth proportional to 548.84, 758.20 and 438.18 is: 605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.84 : 758.20 = 438.18 : x
  2. Step 2: Convert to fraction form
    548.84/758.20 = 438.18/x
  3. Step 3: Cross multiply
    548.84x = 758.20 × 438.18
  4. Step 4: Simplify right side
    548.84x = 332,228.08
  5. Step 5: Solve for x
    x = 332,228.08/548.84
  6. Step 6: Final answer
    x = 605.33

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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.