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Finding the Fourth Proportional to 844.92, 1,257.96 and 832.78

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Solution

The fourth proportional to 844.92, 1,257.96 and 832.78 is: 1,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.92 : 1,257.96 = 832.78 : x
  2. Step 2: Convert to fraction form
    844.92/1,257.96 = 832.78/x
  3. Step 3: Cross multiply
    844.92x = 1,257.96 × 832.78
  4. Step 4: Simplify right side
    844.92x = 1,047,603.93
  5. Step 5: Solve for x
    x = 1,047,603.93/844.92
  6. Step 6: Final answer
    x = 1,239.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.