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Finding the Fourth Proportional to 427.72, 589.56 and 309.70

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Solution

The fourth proportional to 427.72, 589.56 and 309.70 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.72 : 589.56 = 309.70 : x
  2. Step 2: Convert to fraction form
    427.72/589.56 = 309.70/x
  3. Step 3: Cross multiply
    427.72x = 589.56 × 309.70
  4. Step 4: Simplify right side
    427.72x = 182,586.73
  5. Step 5: Solve for x
    x = 182,586.73/427.72
  6. Step 6: Final answer
    x = 426.88

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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.