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Finding the Fourth Proportional to 889.44, 1,336.72 and 824.16

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Solution

The fourth proportional to 889.44, 1,336.72 and 824.16 is: 1,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.44 : 1,336.72 = 824.16 : x
  2. Step 2: Convert to fraction form
    889.44/1,336.72 = 824.16/x
  3. Step 3: Cross multiply
    889.44x = 1,336.72 × 824.16
  4. Step 4: Simplify right side
    889.44x = 1,101,671.16
  5. Step 5: Solve for x
    x = 1,101,671.16/889.44
  6. Step 6: Final answer
    x = 1,238.61

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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.