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Finding the Fourth Proportional to 713.60, 984.70 and 419

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Solution

The fourth proportional to 713.60, 984.70 and 419 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 984.70 = 419 : x
  2. Step 2: Convert to fraction form
    713.60/984.70 = 419/x
  3. Step 3: Cross multiply
    713.60x = 984.70 × 419
  4. Step 4: Simplify right side
    713.60x = 412,589.30
  5. Step 5: Solve for x
    x = 412,589.30/713.60
  6. Step 6: Final answer
    x = 578.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.