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Finding the Fourth Proportional to 533.98, 736.72 and 359.43

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Solution

The fourth proportional to 533.98, 736.72 and 359.43 is: 495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.98 : 736.72 = 359.43 : x
  2. Step 2: Convert to fraction form
    533.98/736.72 = 359.43/x
  3. Step 3: Cross multiply
    533.98x = 736.72 × 359.43
  4. Step 4: Simplify right side
    533.98x = 264,799.27
  5. Step 5: Solve for x
    x = 264,799.27/533.98
  6. Step 6: Final answer
    x = 495.90

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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.