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Finding the Fourth Proportional to 896.21, 1,340.80 and 665.63

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Solution

The fourth proportional to 896.21, 1,340.80 and 665.63 is: 995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.21 : 1,340.80 = 665.63 : x
  2. Step 2: Convert to fraction form
    896.21/1,340.80 = 665.63/x
  3. Step 3: Cross multiply
    896.21x = 1,340.80 × 665.63
  4. Step 4: Simplify right side
    896.21x = 892,468.34
  5. Step 5: Solve for x
    x = 892,468.34/896.21
  6. Step 6: Final answer
    x = 995.83

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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.