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Finding the Fourth Proportional to 557.30, 769.09 and 308.67

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Solution

The fourth proportional to 557.30, 769.09 and 308.67 is: 425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 769.09 = 308.67 : x
  2. Step 2: Convert to fraction form
    557.30/769.09 = 308.67/x
  3. Step 3: Cross multiply
    557.30x = 769.09 × 308.67
  4. Step 4: Simplify right side
    557.30x = 237,395.01
  5. Step 5: Solve for x
    x = 237,395.01/557.30
  6. Step 6: Final answer
    x = 425.97

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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.