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Finding the Fourth Proportional to 557.12, 768.81 and 335.99

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Solution

The fourth proportional to 557.12, 768.81 and 335.99 is: 463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.12 : 768.81 = 335.99 : x
  2. Step 2: Convert to fraction form
    557.12/768.81 = 335.99/x
  3. Step 3: Cross multiply
    557.12x = 768.81 × 335.99
  4. Step 4: Simplify right side
    557.12x = 258,310.55
  5. Step 5: Solve for x
    x = 258,310.55/557.12
  6. Step 6: Final answer
    x = 463.66

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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.