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Finding the Fourth Proportional to 705.04, 971.94 and 494.56

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Solution

The fourth proportional to 705.04, 971.94 and 494.56 is: 681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.04 : 971.94 = 494.56 : x
  2. Step 2: Convert to fraction form
    705.04/971.94 = 494.56/x
  3. Step 3: Cross multiply
    705.04x = 971.94 × 494.56
  4. Step 4: Simplify right side
    705.04x = 480,682.65
  5. Step 5: Solve for x
    x = 480,682.65/705.04
  6. Step 6: Final answer
    x = 681.78

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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.