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Finding the Fourth Proportional to 445.58, 609.18 and 428.57

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Solution

The fourth proportional to 445.58, 609.18 and 428.57 is: 585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.58 : 609.18 = 428.57 : x
  2. Step 2: Convert to fraction form
    445.58/609.18 = 428.57/x
  3. Step 3: Cross multiply
    445.58x = 609.18 × 428.57
  4. Step 4: Simplify right side
    445.58x = 261,076.27
  5. Step 5: Solve for x
    x = 261,076.27/445.58
  6. Step 6: Final answer
    x = 585.92

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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.