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Finding the Fourth Proportional to 615.96, 850.19 and 380.07

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Solution

The fourth proportional to 615.96, 850.19 and 380.07 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.96 : 850.19 = 380.07 : x
  2. Step 2: Convert to fraction form
    615.96/850.19 = 380.07/x
  3. Step 3: Cross multiply
    615.96x = 850.19 × 380.07
  4. Step 4: Simplify right side
    615.96x = 323,129.81
  5. Step 5: Solve for x
    x = 323,129.81/615.96
  6. Step 6: Final answer
    x = 524.60

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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.