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Finding the Fourth Proportional to 556.52, 768.14 and 381.82

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Solution

The fourth proportional to 556.52, 768.14 and 381.82 is: 527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.52 : 768.14 = 381.82 : x
  2. Step 2: Convert to fraction form
    556.52/768.14 = 381.82/x
  3. Step 3: Cross multiply
    556.52x = 768.14 × 381.82
  4. Step 4: Simplify right side
    556.52x = 293,291.21
  5. Step 5: Solve for x
    x = 293,291.21/556.52
  6. Step 6: Final answer
    x = 527.01

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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.