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Finding the Fourth Proportional to 548.86, 757.49 and 312.84

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Solution

The fourth proportional to 548.86, 757.49 and 312.84 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.86 : 757.49 = 312.84 : x
  2. Step 2: Convert to fraction form
    548.86/757.49 = 312.84/x
  3. Step 3: Cross multiply
    548.86x = 757.49 × 312.84
  4. Step 4: Simplify right side
    548.86x = 236,973.17
  5. Step 5: Solve for x
    x = 236,973.17/548.86
  6. Step 6: Final answer
    x = 431.76

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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.