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Finding the Fourth Proportional to 535.64, 797.69 and 517.41

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Solution

The fourth proportional to 535.64, 797.69 and 517.41 is: 770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.64 : 797.69 = 517.41 : x
  2. Step 2: Convert to fraction form
    535.64/797.69 = 517.41/x
  3. Step 3: Cross multiply
    535.64x = 797.69 × 517.41
  4. Step 4: Simplify right side
    535.64x = 412,734.08
  5. Step 5: Solve for x
    x = 412,734.08/535.64
  6. Step 6: Final answer
    x = 770.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.