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Finding the Fourth Proportional to 920.34, 1,267.20 and 809.28

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Solution

The fourth proportional to 920.34, 1,267.20 and 809.28 is: 1,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.34 : 1,267.20 = 809.28 : x
  2. Step 2: Convert to fraction form
    920.34/1,267.20 = 809.28/x
  3. Step 3: Cross multiply
    920.34x = 1,267.20 × 809.28
  4. Step 4: Simplify right side
    920.34x = 1,025,519.62
  5. Step 5: Solve for x
    x = 1,025,519.62/920.34
  6. Step 6: Final answer
    x = 1,114.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.