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Finding the Fourth Proportional to 557.69, 769.70 and 441.05

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Solution

The fourth proportional to 557.69, 769.70 and 441.05 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 769.70 = 441.05 : x
  2. Step 2: Convert to fraction form
    557.69/769.70 = 441.05/x
  3. Step 3: Cross multiply
    557.69x = 769.70 × 441.05
  4. Step 4: Simplify right side
    557.69x = 339,473.44
  5. Step 5: Solve for x
    x = 339,473.44/557.69
  6. Step 6: Final answer
    x = 608.72

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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.