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Finding the Fourth Proportional to 705.67, 973.06 and 481.75

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Solution

The fourth proportional to 705.67, 973.06 and 481.75 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.67 : 973.06 = 481.75 : x
  2. Step 2: Convert to fraction form
    705.67/973.06 = 481.75/x
  3. Step 3: Cross multiply
    705.67x = 973.06 × 481.75
  4. Step 4: Simplify right side
    705.67x = 468,771.66
  5. Step 5: Solve for x
    x = 468,771.66/705.67
  6. Step 6: Final answer
    x = 664.29

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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.