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Finding the Fourth Proportional to 995.35, 1,491.69 and 378.33

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Solution

The fourth proportional to 995.35, 1,491.69 and 378.33 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.35 : 1,491.69 = 378.33 : x
  2. Step 2: Convert to fraction form
    995.35/1,491.69 = 378.33/x
  3. Step 3: Cross multiply
    995.35x = 1,491.69 × 378.33
  4. Step 4: Simplify right side
    995.35x = 564,351.08
  5. Step 5: Solve for x
    x = 564,351.08/995.35
  6. Step 6: Final answer
    x = 566.99

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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.