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Finding the Fourth Proportional to 556.87, 768.61 and 335.78

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Solution

The fourth proportional to 556.87, 768.61 and 335.78 is: 463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.87 : 768.61 = 335.78 : x
  2. Step 2: Convert to fraction form
    556.87/768.61 = 335.78/x
  3. Step 3: Cross multiply
    556.87x = 768.61 × 335.78
  4. Step 4: Simplify right side
    556.87x = 258,083.87
  5. Step 5: Solve for x
    x = 258,083.87/556.87
  6. Step 6: Final answer
    x = 463.45

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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.