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Finding the Fourth Proportional to 906.73, 1,252.33 and 659.15

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Solution

The fourth proportional to 906.73, 1,252.33 and 659.15 is: 910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.73 : 1,252.33 = 659.15 : x
  2. Step 2: Convert to fraction form
    906.73/1,252.33 = 659.15/x
  3. Step 3: Cross multiply
    906.73x = 1,252.33 × 659.15
  4. Step 4: Simplify right side
    906.73x = 825,473.32
  5. Step 5: Solve for x
    x = 825,473.32/906.73
  6. Step 6: Final answer
    x = 910.38

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Double scale
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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.