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Finding the Fourth Proportional to 906.81, 1,251.37 and 533.79

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Solution

The fourth proportional to 906.81, 1,251.37 and 533.79 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.81 : 1,251.37 = 533.79 : x
  2. Step 2: Convert to fraction form
    906.81/1,251.37 = 533.79/x
  3. Step 3: Cross multiply
    906.81x = 1,251.37 × 533.79
  4. Step 4: Simplify right side
    906.81x = 667,962.77
  5. Step 5: Solve for x
    x = 667,962.77/906.81
  6. Step 6: Final answer
    x = 736.61

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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.