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Finding the Fourth Proportional to 442.14, 605.24 and 428.10

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Solution

The fourth proportional to 442.14, 605.24 and 428.10 is: 586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.14 : 605.24 = 428.10 : x
  2. Step 2: Convert to fraction form
    442.14/605.24 = 428.10/x
  3. Step 3: Cross multiply
    442.14x = 605.24 × 428.10
  4. Step 4: Simplify right side
    442.14x = 259,101.10
  5. Step 5: Solve for x
    x = 259,101.10/442.14
  6. Step 6: Final answer
    x = 586.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.