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Finding the Fourth Proportional to 533.92, 797.33 and 528.20

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Solution

The fourth proportional to 533.92, 797.33 and 528.20 is: 788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.92 : 797.33 = 528.20 : x
  2. Step 2: Convert to fraction form
    533.92/797.33 = 528.20/x
  3. Step 3: Cross multiply
    533.92x = 797.33 × 528.20
  4. Step 4: Simplify right side
    533.92x = 421,147.07
  5. Step 5: Solve for x
    x = 421,147.07/533.92
  6. Step 6: Final answer
    x = 788.78

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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.