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Finding the Fourth Proportional to 1,281.39, 1,922.68 and 664.76

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Solution

The fourth proportional to 1,281.39, 1,922.68 and 664.76 is: 997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.39 : 1,922.68 = 664.76 : x
  2. Step 2: Convert to fraction form
    1,281.39/1,922.68 = 664.76/x
  3. Step 3: Cross multiply
    1,281.39x = 1,922.68 × 664.76
  4. Step 4: Simplify right side
    1,281.39x = 1,278,111.14
  5. Step 5: Solve for x
    x = 1,278,111.14/1,281.39
  6. Step 6: Final answer
    x = 997.45

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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.