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Finding the Fourth Proportional to 556.11, 768.89 and 462.82

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Solution

The fourth proportional to 556.11, 768.89 and 462.82 is: 639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.11 : 768.89 = 462.82 : x
  2. Step 2: Convert to fraction form
    556.11/768.89 = 462.82/x
  3. Step 3: Cross multiply
    556.11x = 768.89 × 462.82
  4. Step 4: Simplify right side
    556.11x = 355,857.67
  5. Step 5: Solve for x
    x = 355,857.67/556.11
  6. Step 6: Final answer
    x = 639.91

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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.