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Finding the Fourth Proportional to 705.31, 973.22 and 484.56

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Solution

The fourth proportional to 705.31, 973.22 and 484.56 is: 668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.31 : 973.22 = 484.56 : x
  2. Step 2: Convert to fraction form
    705.31/973.22 = 484.56/x
  3. Step 3: Cross multiply
    705.31x = 973.22 × 484.56
  4. Step 4: Simplify right side
    705.31x = 471,578.32
  5. Step 5: Solve for x
    x = 471,578.32/705.31
  6. Step 6: Final answer
    x = 668.61

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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.