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Finding the Fourth Proportional to 556.93, 768.36 and 335.80

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Solution

The fourth proportional to 556.93, 768.36 and 335.80 is: 463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.93 : 768.36 = 335.80 : x
  2. Step 2: Convert to fraction form
    556.93/768.36 = 335.80/x
  3. Step 3: Cross multiply
    556.93x = 768.36 × 335.80
  4. Step 4: Simplify right side
    556.93x = 258,015.29
  5. Step 5: Solve for x
    x = 258,015.29/556.93
  6. Step 6: Final answer
    x = 463.28

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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.