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Finding the Fourth Proportional to 533.85, 736.65 and 312.75

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Solution

The fourth proportional to 533.85, 736.65 and 312.75 is: 431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.85 : 736.65 = 312.75 : x
  2. Step 2: Convert to fraction form
    533.85/736.65 = 312.75/x
  3. Step 3: Cross multiply
    533.85x = 736.65 × 312.75
  4. Step 4: Simplify right side
    533.85x = 230,387.29
  5. Step 5: Solve for x
    x = 230,387.29/533.85
  6. Step 6: Final answer
    x = 431.56

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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.