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Finding the Fourth Proportional to 615.67, 850.30 and 418.84

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Solution

The fourth proportional to 615.67, 850.30 and 418.84 is: 578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.67 : 850.30 = 418.84 : x
  2. Step 2: Convert to fraction form
    615.67/850.30 = 418.84/x
  3. Step 3: Cross multiply
    615.67x = 850.30 × 418.84
  4. Step 4: Simplify right side
    615.67x = 356,136.48
  5. Step 5: Solve for x
    x = 356,136.48/615.67
  6. Step 6: Final answer
    x = 578.46

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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.