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Finding the Fourth Proportional to 986.41, 1,358.93 and 817.73

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Solution

The fourth proportional to 986.41, 1,358.93 and 817.73 is: 1,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.41 : 1,358.93 = 817.73 : x
  2. Step 2: Convert to fraction form
    986.41/1,358.93 = 817.73/x
  3. Step 3: Cross multiply
    986.41x = 1,358.93 × 817.73
  4. Step 4: Simplify right side
    986.41x = 1,111,233.57
  5. Step 5: Solve for x
    x = 1,111,233.57/986.41
  6. Step 6: Final answer
    x = 1,126.54

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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.