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Finding the Fourth Proportional to 713.79, 984.63 and 418.98

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Solution

The fourth proportional to 713.79, 984.63 and 418.98 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.79 : 984.63 = 418.98 : x
  2. Step 2: Convert to fraction form
    713.79/984.63 = 418.98/x
  3. Step 3: Cross multiply
    713.79x = 984.63 × 418.98
  4. Step 4: Simplify right side
    713.79x = 412,540.28
  5. Step 5: Solve for x
    x = 412,540.28/713.79
  6. Step 6: Final answer
    x = 577.96

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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.