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Finding the Fourth Proportional to 557.25, 769.05 and 308.65

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Solution

The fourth proportional to 557.25, 769.05 and 308.65 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.25 : 769.05 = 308.65 : x
  2. Step 2: Convert to fraction form
    557.25/769.05 = 308.65/x
  3. Step 3: Cross multiply
    557.25x = 769.05 × 308.65
  4. Step 4: Simplify right side
    557.25x = 237,367.28
  5. Step 5: Solve for x
    x = 237,367.28/557.25
  6. Step 6: Final answer
    x = 425.96

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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.