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Finding the Fourth Proportional to 867.32, 1,293.40 and 809

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Solution

The fourth proportional to 867.32, 1,293.40 and 809 is: 1,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.32 : 1,293.40 = 809 : x
  2. Step 2: Convert to fraction form
    867.32/1,293.40 = 809/x
  3. Step 3: Cross multiply
    867.32x = 1,293.40 × 809
  4. Step 4: Simplify right side
    867.32x = 1,046,360.60
  5. Step 5: Solve for x
    x = 1,046,360.60/867.32
  6. Step 6: Final answer
    x = 1,206.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.