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Finding the Fourth Proportional to 556.88, 768.56 and 335.75

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Solution

The fourth proportional to 556.88, 768.56 and 335.75 is: 463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.88 : 768.56 = 335.75 : x
  2. Step 2: Convert to fraction form
    556.88/768.56 = 335.75/x
  3. Step 3: Cross multiply
    556.88x = 768.56 × 335.75
  4. Step 4: Simplify right side
    556.88x = 258,038.50
  5. Step 5: Solve for x
    x = 258,038.50/556.88
  6. Step 6: Final answer
    x = 463.37

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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.