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Finding the Fourth Proportional to 865.54, 1,297.09 and 620.92

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Solution

The fourth proportional to 865.54, 1,297.09 and 620.92 is: 930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.54 : 1,297.09 = 620.92 : x
  2. Step 2: Convert to fraction form
    865.54/1,297.09 = 620.92/x
  3. Step 3: Cross multiply
    865.54x = 1,297.09 × 620.92
  4. Step 4: Simplify right side
    865.54x = 805,389.12
  5. Step 5: Solve for x
    x = 805,389.12/865.54
  6. Step 6: Final answer
    x = 930.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.