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Finding the Fourth Proportional to 796.20, 1,098.42 and 547.08

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Solution

The fourth proportional to 796.20, 1,098.42 and 547.08 is: 754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.20 : 1,098.42 = 547.08 : x
  2. Step 2: Convert to fraction form
    796.20/1,098.42 = 547.08/x
  3. Step 3: Cross multiply
    796.20x = 1,098.42 × 547.08
  4. Step 4: Simplify right side
    796.20x = 600,923.61
  5. Step 5: Solve for x
    x = 600,923.61/796.20
  6. Step 6: Final answer
    x = 754.74

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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.