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Finding the Fourth Proportional to 905.64, 1,359.09 and 838.05

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Solution

The fourth proportional to 905.64, 1,359.09 and 838.05 is: 1,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.64 : 1,359.09 = 838.05 : x
  2. Step 2: Convert to fraction form
    905.64/1,359.09 = 838.05/x
  3. Step 3: Cross multiply
    905.64x = 1,359.09 × 838.05
  4. Step 4: Simplify right side
    905.64x = 1,138,985.37
  5. Step 5: Solve for x
    x = 1,138,985.37/905.64
  6. Step 6: Final answer
    x = 1,257.66

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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.