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Finding the Fourth Proportional to 797.32, 1,194.96 and 431.20

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Solution

The fourth proportional to 797.32, 1,194.96 and 431.20 is: 646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.32 : 1,194.96 = 431.20 : x
  2. Step 2: Convert to fraction form
    797.32/1,194.96 = 431.20/x
  3. Step 3: Cross multiply
    797.32x = 1,194.96 × 431.20
  4. Step 4: Simplify right side
    797.32x = 515,266.75
  5. Step 5: Solve for x
    x = 515,266.75/797.32
  6. Step 6: Final answer
    x = 646.25

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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.