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Finding the Fourth Proportional to 906.54, 1,251.40 and 685.56

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Solution

The fourth proportional to 906.54, 1,251.40 and 685.56 is: 946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.54 : 1,251.40 = 685.56 : x
  2. Step 2: Convert to fraction form
    906.54/1,251.40 = 685.56/x
  3. Step 3: Cross multiply
    906.54x = 1,251.40 × 685.56
  4. Step 4: Simplify right side
    906.54x = 857,909.78
  5. Step 5: Solve for x
    x = 857,909.78/906.54
  6. Step 6: Final answer
    x = 946.36

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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.