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Finding the Fourth Proportional to 713.21, 984.30 and 602.64

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Solution

The fourth proportional to 713.21, 984.30 and 602.64 is: 831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.21 : 984.30 = 602.64 : x
  2. Step 2: Convert to fraction form
    713.21/984.30 = 602.64/x
  3. Step 3: Cross multiply
    713.21x = 984.30 × 602.64
  4. Step 4: Simplify right side
    713.21x = 593,179.68
  5. Step 5: Solve for x
    x = 593,179.68/713.21
  6. Step 6: Final answer
    x = 831.71

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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.