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Finding the Fourth Proportional to 1,285.58, 1,772.37 and 842.78

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Solution

The fourth proportional to 1,285.58, 1,772.37 and 842.78 is: 1,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.58 : 1,772.37 = 842.78 : x
  2. Step 2: Convert to fraction form
    1,285.58/1,772.37 = 842.78/x
  3. Step 3: Cross multiply
    1,285.58x = 1,772.37 × 842.78
  4. Step 4: Simplify right side
    1,285.58x = 1,493,717.99
  5. Step 5: Solve for x
    x = 1,493,717.99/1,285.58
  6. Step 6: Final answer
    x = 1,161.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.