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Finding the Fourth Proportional to 556.98, 768.78 and 335.94

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Solution

The fourth proportional to 556.98, 768.78 and 335.94 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 768.78 = 335.94 : x
  2. Step 2: Convert to fraction form
    556.98/768.78 = 335.94/x
  3. Step 3: Cross multiply
    556.98x = 768.78 × 335.94
  4. Step 4: Simplify right side
    556.98x = 258,263.95
  5. Step 5: Solve for x
    x = 258,263.95/556.98
  6. Step 6: Final answer
    x = 463.69

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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.