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Finding the Fourth Proportional to 1,285.73, 1,929.72 and 669.86

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Solution

The fourth proportional to 1,285.73, 1,929.72 and 669.86 is: 1,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.73 : 1,929.72 = 669.86 : x
  2. Step 2: Convert to fraction form
    1,285.73/1,929.72 = 669.86/x
  3. Step 3: Cross multiply
    1,285.73x = 1,929.72 × 669.86
  4. Step 4: Simplify right side
    1,285.73x = 1,292,632.59
  5. Step 5: Solve for x
    x = 1,292,632.59/1,285.73
  6. Step 6: Final answer
    x = 1,005.37

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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.