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Finding the Fourth Proportional to 548.92, 757.61 and 312.89

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Solution

The fourth proportional to 548.92, 757.61 and 312.89 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.92 : 757.61 = 312.89 : x
  2. Step 2: Convert to fraction form
    548.92/757.61 = 312.89/x
  3. Step 3: Cross multiply
    548.92x = 757.61 × 312.89
  4. Step 4: Simplify right side
    548.92x = 237,044.41
  5. Step 5: Solve for x
    x = 237,044.41/548.92
  6. Step 6: Final answer
    x = 431.84

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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.