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Finding the Fourth Proportional to 906.42, 1,251.57 and 709.62

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Solution

The fourth proportional to 906.42, 1,251.57 and 709.62 is: 979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.42 : 1,251.57 = 709.62 : x
  2. Step 2: Convert to fraction form
    906.42/1,251.57 = 709.62/x
  3. Step 3: Cross multiply
    906.42x = 1,251.57 × 709.62
  4. Step 4: Simplify right side
    906.42x = 888,139.10
  5. Step 5: Solve for x
    x = 888,139.10/906.42
  6. Step 6: Final answer
    x = 979.83

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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.