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Finding the Fourth Proportional to 892.28, 1,338.62 and 307.26

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Solution

The fourth proportional to 892.28, 1,338.62 and 307.26 is: 460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.28 : 1,338.62 = 307.26 : x
  2. Step 2: Convert to fraction form
    892.28/1,338.62 = 307.26/x
  3. Step 3: Cross multiply
    892.28x = 1,338.62 × 307.26
  4. Step 4: Simplify right side
    892.28x = 411,302.84
  5. Step 5: Solve for x
    x = 411,302.84/892.28
  6. Step 6: Final answer
    x = 460.96

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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.