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Finding the Fourth Proportional to 441.37, 657.86 and 428.14

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Solution

The fourth proportional to 441.37, 657.86 and 428.14 is: 638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.37 : 657.86 = 428.14 : x
  2. Step 2: Convert to fraction form
    441.37/657.86 = 428.14/x
  3. Step 3: Cross multiply
    441.37x = 657.86 × 428.14
  4. Step 4: Simplify right side
    441.37x = 281,656.18
  5. Step 5: Solve for x
    x = 281,656.18/441.37
  6. Step 6: Final answer
    x = 638.14

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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.