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Finding the Fourth Proportional to 556.41, 768.06 and 379.29

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Solution

The fourth proportional to 556.41, 768.06 and 379.29 is: 523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.41 : 768.06 = 379.29 : x
  2. Step 2: Convert to fraction form
    556.41/768.06 = 379.29/x
  3. Step 3: Cross multiply
    556.41x = 768.06 × 379.29
  4. Step 4: Simplify right side
    556.41x = 291,317.48
  5. Step 5: Solve for x
    x = 291,317.48/556.41
  6. Step 6: Final answer
    x = 523.57

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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.