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Finding the Fourth Proportional to 713.39, 984.29 and 418.64

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Solution

The fourth proportional to 713.39, 984.29 and 418.64 is: 577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.39 : 984.29 = 418.64 : x
  2. Step 2: Convert to fraction form
    713.39/984.29 = 418.64/x
  3. Step 3: Cross multiply
    713.39x = 984.29 × 418.64
  4. Step 4: Simplify right side
    713.39x = 412,056.15
  5. Step 5: Solve for x
    x = 412,056.15/713.39
  6. Step 6: Final answer
    x = 577.61

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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.