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Finding the Fourth Proportional to 754.86, 1,131.38 and 548.92

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Solution

The fourth proportional to 754.86, 1,131.38 and 548.92 is: 822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.86 : 1,131.38 = 548.92 : x
  2. Step 2: Convert to fraction form
    754.86/1,131.38 = 548.92/x
  3. Step 3: Cross multiply
    754.86x = 1,131.38 × 548.92
  4. Step 4: Simplify right side
    754.86x = 621,038.48
  5. Step 5: Solve for x
    x = 621,038.48/754.86
  6. Step 6: Final answer
    x = 822.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.