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Finding the Fourth Proportional to 1,281.46, 1,920.63 and 664.83

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Solution

The fourth proportional to 1,281.46, 1,920.63 and 664.83 is: 996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.46 : 1,920.63 = 664.83 : x
  2. Step 2: Convert to fraction form
    1,281.46/1,920.63 = 664.83/x
  3. Step 3: Cross multiply
    1,281.46x = 1,920.63 × 664.83
  4. Step 4: Simplify right side
    1,281.46x = 1,276,892.44
  5. Step 5: Solve for x
    x = 1,276,892.44/1,281.46
  6. Step 6: Final answer
    x = 996.44

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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.