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Finding the Fourth Proportional to 867.19, 1,297.60 and 820.28

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Solution

The fourth proportional to 867.19, 1,297.60 and 820.28 is: 1,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.19 : 1,297.60 = 820.28 : x
  2. Step 2: Convert to fraction form
    867.19/1,297.60 = 820.28/x
  3. Step 3: Cross multiply
    867.19x = 1,297.60 × 820.28
  4. Step 4: Simplify right side
    867.19x = 1,064,395.33
  5. Step 5: Solve for x
    x = 1,064,395.33/867.19
  6. Step 6: Final answer
    x = 1,227.41

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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.