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Finding the Fourth Proportional to 428.05, 641.53 and 370.27

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Solution

The fourth proportional to 428.05, 641.53 and 370.27 is: 554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.05 : 641.53 = 370.27 : x
  2. Step 2: Convert to fraction form
    428.05/641.53 = 370.27/x
  3. Step 3: Cross multiply
    428.05x = 641.53 × 370.27
  4. Step 4: Simplify right side
    428.05x = 237,534.25
  5. Step 5: Solve for x
    x = 237,534.25/428.05
  6. Step 6: Final answer
    x = 554.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.