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Finding the Fourth Proportional to 1,285.96, 1,773.26 and 1,005.70

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Solution

The fourth proportional to 1,285.96, 1,773.26 and 1,005.70 is: 1,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.96 : 1,773.26 = 1,005.70 : x
  2. Step 2: Convert to fraction form
    1,285.96/1,773.26 = 1,005.70/x
  3. Step 3: Cross multiply
    1,285.96x = 1,773.26 × 1,005.70
  4. Step 4: Simplify right side
    1,285.96x = 1,783,367.58
  5. Step 5: Solve for x
    x = 1,783,367.58/1,285.96
  6. Step 6: Final answer
    x = 1,386.80

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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.