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Finding the Fourth Proportional to 890.50, 1,335.92 and 313.78

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Solution

The fourth proportional to 890.50, 1,335.92 and 313.78 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.50 : 1,335.92 = 313.78 : x
  2. Step 2: Convert to fraction form
    890.50/1,335.92 = 313.78/x
  3. Step 3: Cross multiply
    890.50x = 1,335.92 × 313.78
  4. Step 4: Simplify right side
    890.50x = 419,184.98
  5. Step 5: Solve for x
    x = 419,184.98/890.50
  6. Step 6: Final answer
    x = 470.73

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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.