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Finding the Fourth Proportional to 533.82, 736.71 and 312.69

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Solution

The fourth proportional to 533.82, 736.71 and 312.69 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 736.71 = 312.69 : x
  2. Step 2: Convert to fraction form
    533.82/736.71 = 312.69/x
  3. Step 3: Cross multiply
    533.82x = 736.71 × 312.69
  4. Step 4: Simplify right side
    533.82x = 230,361.85
  5. Step 5: Solve for x
    x = 230,361.85/533.82
  6. Step 6: Final answer
    x = 431.53

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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.