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Finding the Fourth Proportional to 892.32, 1,336 and 649.28

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Solution

The fourth proportional to 892.32, 1,336 and 649.28 is: 972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.32 : 1,336 = 649.28 : x
  2. Step 2: Convert to fraction form
    892.32/1,336 = 649.28/x
  3. Step 3: Cross multiply
    892.32x = 1,336 × 649.28
  4. Step 4: Simplify right side
    892.32x = 867,438.08
  5. Step 5: Solve for x
    x = 867,438.08/892.32
  6. Step 6: Final answer
    x = 972.12

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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.