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Finding the Fourth Proportional to 609.85, 915.04 and 285.49

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Solution

The fourth proportional to 609.85, 915.04 and 285.49 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.85 : 915.04 = 285.49 : x
  2. Step 2: Convert to fraction form
    609.85/915.04 = 285.49/x
  3. Step 3: Cross multiply
    609.85x = 915.04 × 285.49
  4. Step 4: Simplify right side
    609.85x = 261,230.19
  5. Step 5: Solve for x
    x = 261,230.19/609.85
  6. Step 6: Final answer
    x = 428.36

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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.