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Finding the Fourth Proportional to 825.16, 1,138.14 and 629.14

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Solution

The fourth proportional to 825.16, 1,138.14 and 629.14 is: 867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,138.14 = 629.14 : x
  2. Step 2: Convert to fraction form
    825.16/1,138.14 = 629.14/x
  3. Step 3: Cross multiply
    825.16x = 1,138.14 × 629.14
  4. Step 4: Simplify right side
    825.16x = 716,049.40
  5. Step 5: Solve for x
    x = 716,049.40/825.16
  6. Step 6: Final answer
    x = 867.77

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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.