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Finding the Fourth Proportional to 906.20, 1,249.21 and 719.73

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Solution

The fourth proportional to 906.20, 1,249.21 and 719.73 is: 992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.20 : 1,249.21 = 719.73 : x
  2. Step 2: Convert to fraction form
    906.20/1,249.21 = 719.73/x
  3. Step 3: Cross multiply
    906.20x = 1,249.21 × 719.73
  4. Step 4: Simplify right side
    906.20x = 899,093.91
  5. Step 5: Solve for x
    x = 899,093.91/906.20
  6. Step 6: Final answer
    x = 992.16

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1.5x scale

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.