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Finding the Fourth Proportional to 865.50, 1,304.75 and 852.54

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Solution

The fourth proportional to 865.50, 1,304.75 and 852.54 is: 1,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.50 : 1,304.75 = 852.54 : x
  2. Step 2: Convert to fraction form
    865.50/1,304.75 = 852.54/x
  3. Step 3: Cross multiply
    865.50x = 1,304.75 × 852.54
  4. Step 4: Simplify right side
    865.50x = 1,112,347.30
  5. Step 5: Solve for x
    x = 1,112,347.30/865.50
  6. Step 6: Final answer
    x = 1,285.21

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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.