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Finding the Fourth Proportional to 615.84, 850.23 and 383.28

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Solution

The fourth proportional to 615.84, 850.23 and 383.28 is: 529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.84 : 850.23 = 383.28 : x
  2. Step 2: Convert to fraction form
    615.84/850.23 = 383.28/x
  3. Step 3: Cross multiply
    615.84x = 850.23 × 383.28
  4. Step 4: Simplify right side
    615.84x = 325,876.15
  5. Step 5: Solve for x
    x = 325,876.15/615.84
  6. Step 6: Final answer
    x = 529.16

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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.