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Finding the Fourth Proportional to 705.86, 973.93 and 484.73

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Solution

The fourth proportional to 705.86, 973.93 and 484.73 is: 668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.86 : 973.93 = 484.73 : x
  2. Step 2: Convert to fraction form
    705.86/973.93 = 484.73/x
  3. Step 3: Cross multiply
    705.86x = 973.93 × 484.73
  4. Step 4: Simplify right side
    705.86x = 472,093.09
  5. Step 5: Solve for x
    x = 472,093.09/705.86
  6. Step 6: Final answer
    x = 668.82

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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.