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Finding the Fourth Proportional to 713.98, 984.85 and 452.22

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Solution

The fourth proportional to 713.98, 984.85 and 452.22 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.98 : 984.85 = 452.22 : x
  2. Step 2: Convert to fraction form
    713.98/984.85 = 452.22/x
  3. Step 3: Cross multiply
    713.98x = 984.85 × 452.22
  4. Step 4: Simplify right side
    713.98x = 445,368.87
  5. Step 5: Solve for x
    x = 445,368.87/713.98
  6. Step 6: Final answer
    x = 623.78

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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.