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Finding the Fourth Proportional to 906.38, 1,252.36 and 721.50

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Solution

The fourth proportional to 906.38, 1,252.36 and 721.50 is: 996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.38 : 1,252.36 = 721.50 : x
  2. Step 2: Convert to fraction form
    906.38/1,252.36 = 721.50/x
  3. Step 3: Cross multiply
    906.38x = 1,252.36 × 721.50
  4. Step 4: Simplify right side
    906.38x = 903,577.74
  5. Step 5: Solve for x
    x = 903,577.74/906.38
  6. Step 6: Final answer
    x = 996.91

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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.