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Finding the Fourth Proportional to 913.39, 1,376.54 and 825.73

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Solution

The fourth proportional to 913.39, 1,376.54 and 825.73 is: 1,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.39 : 1,376.54 = 825.73 : x
  2. Step 2: Convert to fraction form
    913.39/1,376.54 = 825.73/x
  3. Step 3: Cross multiply
    913.39x = 1,376.54 × 825.73
  4. Step 4: Simplify right side
    913.39x = 1,136,650.37
  5. Step 5: Solve for x
    x = 1,136,650.37/913.39
  6. Step 6: Final answer
    x = 1,244.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.