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Finding the Fourth Proportional to 707.41, 976.09 and 396.91

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Solution

The fourth proportional to 707.41, 976.09 and 396.91 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.41 : 976.09 = 396.91 : x
  2. Step 2: Convert to fraction form
    707.41/976.09 = 396.91/x
  3. Step 3: Cross multiply
    707.41x = 976.09 × 396.91
  4. Step 4: Simplify right side
    707.41x = 387,419.88
  5. Step 5: Solve for x
    x = 387,419.88/707.41
  6. Step 6: Final answer
    x = 547.66

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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.