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Finding the Fourth Proportional to 797.21, 1,195.86 and 364.31

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Solution

The fourth proportional to 797.21, 1,195.86 and 364.31 is: 546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.21 : 1,195.86 = 364.31 : x
  2. Step 2: Convert to fraction form
    797.21/1,195.86 = 364.31/x
  3. Step 3: Cross multiply
    797.21x = 1,195.86 × 364.31
  4. Step 4: Simplify right side
    797.21x = 435,663.76
  5. Step 5: Solve for x
    x = 435,663.76/797.21
  6. Step 6: Final answer
    x = 546.49

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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.