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Finding the Fourth Proportional to 1,282.62, 1,921.86 and 665.40

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Solution

The fourth proportional to 1,282.62, 1,921.86 and 665.40 is: 997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.62 : 1,921.86 = 665.40 : x
  2. Step 2: Convert to fraction form
    1,282.62/1,921.86 = 665.40/x
  3. Step 3: Cross multiply
    1,282.62x = 1,921.86 × 665.40
  4. Step 4: Simplify right side
    1,282.62x = 1,278,805.64
  5. Step 5: Solve for x
    x = 1,278,805.64/1,282.62
  6. Step 6: Final answer
    x = 997.03

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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.