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Finding the Fourth Proportional to 894.39, 1,334.04 and 867.06

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Solution

The fourth proportional to 894.39, 1,334.04 and 867.06 is: 1,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.39 : 1,334.04 = 867.06 : x
  2. Step 2: Convert to fraction form
    894.39/1,334.04 = 867.06/x
  3. Step 3: Cross multiply
    894.39x = 1,334.04 × 867.06
  4. Step 4: Simplify right side
    894.39x = 1,156,692.72
  5. Step 5: Solve for x
    x = 1,156,692.72/894.39
  6. Step 6: Final answer
    x = 1,293.28

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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.