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Finding the Fourth Proportional to 533.91, 735.33 and 460.20

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Solution

The fourth proportional to 533.91, 735.33 and 460.20 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.91 : 735.33 = 460.20 : x
  2. Step 2: Convert to fraction form
    533.91/735.33 = 460.20/x
  3. Step 3: Cross multiply
    533.91x = 735.33 × 460.20
  4. Step 4: Simplify right side
    533.91x = 338,396.57
  5. Step 5: Solve for x
    x = 338,396.57/533.91
  6. Step 6: Final answer
    x = 633.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.