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Finding the Fourth Proportional to 839.46, 1,257.99 and 496.74

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Solution

The fourth proportional to 839.46, 1,257.99 and 496.74 is: 744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.46 : 1,257.99 = 496.74 : x
  2. Step 2: Convert to fraction form
    839.46/1,257.99 = 496.74/x
  3. Step 3: Cross multiply
    839.46x = 1,257.99 × 496.74
  4. Step 4: Simplify right side
    839.46x = 624,893.95
  5. Step 5: Solve for x
    x = 624,893.95/839.46
  6. Step 6: Final answer
    x = 744.40

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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.