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Finding the Fourth Proportional to 891.22, 1,335.99 and 313.78

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Solution

The fourth proportional to 891.22, 1,335.99 and 313.78 is: 470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.22 : 1,335.99 = 313.78 : x
  2. Step 2: Convert to fraction form
    891.22/1,335.99 = 313.78/x
  3. Step 3: Cross multiply
    891.22x = 1,335.99 × 313.78
  4. Step 4: Simplify right side
    891.22x = 419,206.94
  5. Step 5: Solve for x
    x = 419,206.94/891.22
  6. Step 6: Final answer
    x = 470.37

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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.