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Finding the Fourth Proportional to 797.38, 1,196.10 and 364.50

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Solution

The fourth proportional to 797.38, 1,196.10 and 364.50 is: 546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.38 : 1,196.10 = 364.50 : x
  2. Step 2: Convert to fraction form
    797.38/1,196.10 = 364.50/x
  3. Step 3: Cross multiply
    797.38x = 1,196.10 × 364.50
  4. Step 4: Simplify right side
    797.38x = 435,978.45
  5. Step 5: Solve for x
    x = 435,978.45/797.38
  6. Step 6: Final answer
    x = 546.77

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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.