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Finding the Fourth Proportional to 905.83, 1,359.29 and 495.05

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Solution

The fourth proportional to 905.83, 1,359.29 and 495.05 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.83 : 1,359.29 = 495.05 : x
  2. Step 2: Convert to fraction form
    905.83/1,359.29 = 495.05/x
  3. Step 3: Cross multiply
    905.83x = 1,359.29 × 495.05
  4. Step 4: Simplify right side
    905.83x = 672,921.15
  5. Step 5: Solve for x
    x = 672,921.15/905.83
  6. Step 6: Final answer
    x = 742.88

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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.