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Finding the Fourth Proportional to 867.33, 1,297.89 and 809.40

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Solution

The fourth proportional to 867.33, 1,297.89 and 809.40 is: 1,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.33 : 1,297.89 = 809.40 : x
  2. Step 2: Convert to fraction form
    867.33/1,297.89 = 809.40/x
  3. Step 3: Cross multiply
    867.33x = 1,297.89 × 809.40
  4. Step 4: Simplify right side
    867.33x = 1,050,512.17
  5. Step 5: Solve for x
    x = 1,050,512.17/867.33
  6. Step 6: Final answer
    x = 1,211.20

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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.