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Finding the Fourth Proportional to 428.38, 637.66 and 408.46

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Solution

The fourth proportional to 428.38, 637.66 and 408.46 is: 608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.38 : 637.66 = 408.46 : x
  2. Step 2: Convert to fraction form
    428.38/637.66 = 408.46/x
  3. Step 3: Cross multiply
    428.38x = 637.66 × 408.46
  4. Step 4: Simplify right side
    428.38x = 260,458.60
  5. Step 5: Solve for x
    x = 260,458.60/428.38
  6. Step 6: Final answer
    x = 608.01

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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.