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Finding the Fourth Proportional to 905.93, 1,359.48 and 419.03

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Solution

The fourth proportional to 905.93, 1,359.48 and 419.03 is: 628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.93 : 1,359.48 = 419.03 : x
  2. Step 2: Convert to fraction form
    905.93/1,359.48 = 419.03/x
  3. Step 3: Cross multiply
    905.93x = 1,359.48 × 419.03
  4. Step 4: Simplify right side
    905.93x = 569,662.90
  5. Step 5: Solve for x
    x = 569,662.90/905.93
  6. Step 6: Final answer
    x = 628.82

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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.