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Finding the Fourth Proportional to 533.84, 736.86 and 312.84

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Solution

The fourth proportional to 533.84, 736.86 and 312.84 is: 431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 736.86 = 312.84 : x
  2. Step 2: Convert to fraction form
    533.84/736.86 = 312.84/x
  3. Step 3: Cross multiply
    533.84x = 736.86 × 312.84
  4. Step 4: Simplify right side
    533.84x = 230,519.28
  5. Step 5: Solve for x
    x = 230,519.28/533.84
  6. Step 6: Final answer
    x = 431.81

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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.