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Finding the Fourth Proportional to 535.43, 797.86 and 480.93

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Solution

The fourth proportional to 535.43, 797.86 and 480.93 is: 716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.43 : 797.86 = 480.93 : x
  2. Step 2: Convert to fraction form
    535.43/797.86 = 480.93/x
  3. Step 3: Cross multiply
    535.43x = 797.86 × 480.93
  4. Step 4: Simplify right side
    535.43x = 383,708.42
  5. Step 5: Solve for x
    x = 383,708.42/535.43
  6. Step 6: Final answer
    x = 716.63

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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.