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Finding the Fourth Proportional to 1,336.35, 1,844.78 and 894.53

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Solution

The fourth proportional to 1,336.35, 1,844.78 and 894.53 is: 1,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.35 : 1,844.78 = 894.53 : x
  2. Step 2: Convert to fraction form
    1,336.35/1,844.78 = 894.53/x
  3. Step 3: Cross multiply
    1,336.35x = 1,844.78 × 894.53
  4. Step 4: Simplify right side
    1,336.35x = 1,650,197.36
  5. Step 5: Solve for x
    x = 1,650,197.36/1,336.35
  6. Step 6: Final answer
    x = 1,234.85

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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.