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Finding the Fourth Proportional to 1,285.43, 1,926.17 and 669.33

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Solution

The fourth proportional to 1,285.43, 1,926.17 and 669.33 is: 1,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.43 : 1,926.17 = 669.33 : x
  2. Step 2: Convert to fraction form
    1,285.43/1,926.17 = 669.33/x
  3. Step 3: Cross multiply
    1,285.43x = 1,926.17 × 669.33
  4. Step 4: Simplify right side
    1,285.43x = 1,289,240.02
  5. Step 5: Solve for x
    x = 1,289,240.02/1,285.43
  6. Step 6: Final answer
    x = 1,002.97

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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.