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Finding the Fourth Proportional to 906.92, 1,253.42 and 782.54

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Solution

The fourth proportional to 906.92, 1,253.42 and 782.54 is: 1,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.92 : 1,253.42 = 782.54 : x
  2. Step 2: Convert to fraction form
    906.92/1,253.42 = 782.54/x
  3. Step 3: Cross multiply
    906.92x = 1,253.42 × 782.54
  4. Step 4: Simplify right side
    906.92x = 980,849.62
  5. Step 5: Solve for x
    x = 980,849.62/906.92
  6. Step 6: Final answer
    x = 1,081.52

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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.