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Finding the Fourth Proportional to 1,336.73, 2,005.43 and 556.47

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Solution

The fourth proportional to 1,336.73, 2,005.43 and 556.47 is: 834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.73 : 2,005.43 = 556.47 : x
  2. Step 2: Convert to fraction form
    1,336.73/2,005.43 = 556.47/x
  3. Step 3: Cross multiply
    1,336.73x = 2,005.43 × 556.47
  4. Step 4: Simplify right side
    1,336.73x = 1,115,961.14
  5. Step 5: Solve for x
    x = 1,115,961.14/1,336.73
  6. Step 6: Final answer
    x = 834.85

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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.