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Finding the Fourth Proportional to 557.23, 768.91 and 308.55

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Solution

The fourth proportional to 557.23, 768.91 and 308.55 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.23 : 768.91 = 308.55 : x
  2. Step 2: Convert to fraction form
    557.23/768.91 = 308.55/x
  3. Step 3: Cross multiply
    557.23x = 768.91 × 308.55
  4. Step 4: Simplify right side
    557.23x = 237,242.08
  5. Step 5: Solve for x
    x = 237,242.08/557.23
  6. Step 6: Final answer
    x = 425.75

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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.