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Finding the Fourth Proportional to 892.64, 1,338.69 and 307.54

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Solution

The fourth proportional to 892.64, 1,338.69 and 307.54 is: 461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.64 : 1,338.69 = 307.54 : x
  2. Step 2: Convert to fraction form
    892.64/1,338.69 = 307.54/x
  3. Step 3: Cross multiply
    892.64x = 1,338.69 × 307.54
  4. Step 4: Simplify right side
    892.64x = 411,697.38
  5. Step 5: Solve for x
    x = 411,697.38/892.64
  6. Step 6: Final answer
    x = 461.22

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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.