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Finding the Fourth Proportional to 615.50, 850.12 and 418.68

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Solution

The fourth proportional to 615.50, 850.12 and 418.68 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.50 : 850.12 = 418.68 : x
  2. Step 2: Convert to fraction form
    615.50/850.12 = 418.68/x
  3. Step 3: Cross multiply
    615.50x = 850.12 × 418.68
  4. Step 4: Simplify right side
    615.50x = 355,928.24
  5. Step 5: Solve for x
    x = 355,928.24/615.50
  6. Step 6: Final answer
    x = 578.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.