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Finding the Fourth Proportional to 798.17, 1,197.69 and 447.03

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Solution

The fourth proportional to 798.17, 1,197.69 and 447.03 is: 670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.17 : 1,197.69 = 447.03 : x
  2. Step 2: Convert to fraction form
    798.17/1,197.69 = 447.03/x
  3. Step 3: Cross multiply
    798.17x = 1,197.69 × 447.03
  4. Step 4: Simplify right side
    798.17x = 535,403.36
  5. Step 5: Solve for x
    x = 535,403.36/798.17
  6. Step 6: Final answer
    x = 670.79

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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.