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Finding the Fourth Proportional to 1,197.72, 1,795.97 and 547.90

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Solution

The fourth proportional to 1,197.72, 1,795.97 and 547.90 is: 821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.72 : 1,795.97 = 547.90 : x
  2. Step 2: Convert to fraction form
    1,197.72/1,795.97 = 547.90/x
  3. Step 3: Cross multiply
    1,197.72x = 1,795.97 × 547.90
  4. Step 4: Simplify right side
    1,197.72x = 984,011.04
  5. Step 5: Solve for x
    x = 984,011.04/1,197.72
  6. Step 6: Final answer
    x = 821.57

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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.