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Finding the Fourth Proportional to 1,337.45, 1,843.97 and 917.09

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Solution

The fourth proportional to 1,337.45, 1,843.97 and 917.09 is: 1,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.45 : 1,843.97 = 917.09 : x
  2. Step 2: Convert to fraction form
    1,337.45/1,843.97 = 917.09/x
  3. Step 3: Cross multiply
    1,337.45x = 1,843.97 × 917.09
  4. Step 4: Simplify right side
    1,337.45x = 1,691,072.64
  5. Step 5: Solve for x
    x = 1,691,072.64/1,337.45
  6. Step 6: Final answer
    x = 1,264.40

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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.