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Finding the Fourth Proportional to 420.96, 628.34 and 371.70

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Solution

The fourth proportional to 420.96, 628.34 and 371.70 is: 554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.96 : 628.34 = 371.70 : x
  2. Step 2: Convert to fraction form
    420.96/628.34 = 371.70/x
  3. Step 3: Cross multiply
    420.96x = 628.34 × 371.70
  4. Step 4: Simplify right side
    420.96x = 233,553.98
  5. Step 5: Solve for x
    x = 233,553.98/420.96
  6. Step 6: Final answer
    x = 554.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.