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Finding the Fourth Proportional to 713.45, 984.47 and 451.41

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Solution

The fourth proportional to 713.45, 984.47 and 451.41 is: 622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.45 : 984.47 = 451.41 : x
  2. Step 2: Convert to fraction form
    713.45/984.47 = 451.41/x
  3. Step 3: Cross multiply
    713.45x = 984.47 × 451.41
  4. Step 4: Simplify right side
    713.45x = 444,397.35
  5. Step 5: Solve for x
    x = 444,397.35/713.45
  6. Step 6: Final answer
    x = 622.89

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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.