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Finding the Fourth Proportional to 533.91, 736.83 and 313.02

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Solution

The fourth proportional to 533.91, 736.83 and 313.02 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.91 : 736.83 = 313.02 : x
  2. Step 2: Convert to fraction form
    533.91/736.83 = 313.02/x
  3. Step 3: Cross multiply
    533.91x = 736.83 × 313.02
  4. Step 4: Simplify right side
    533.91x = 230,642.53
  5. Step 5: Solve for x
    x = 230,642.53/533.91
  6. Step 6: Final answer
    x = 431.99

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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.