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Finding the Fourth Proportional to 557.69, 769.77 and 336.83

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Solution

The fourth proportional to 557.69, 769.77 and 336.83 is: 464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 769.77 = 336.83 : x
  2. Step 2: Convert to fraction form
    557.69/769.77 = 336.83/x
  3. Step 3: Cross multiply
    557.69x = 769.77 × 336.83
  4. Step 4: Simplify right side
    557.69x = 259,277.78
  5. Step 5: Solve for x
    x = 259,277.78/557.69
  6. Step 6: Final answer
    x = 464.92

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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.