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Finding the Fourth Proportional to 825.58, 1,138.09 and 628.75

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Solution

The fourth proportional to 825.58, 1,138.09 and 628.75 is: 866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.58 : 1,138.09 = 628.75 : x
  2. Step 2: Convert to fraction form
    825.58/1,138.09 = 628.75/x
  3. Step 3: Cross multiply
    825.58x = 1,138.09 × 628.75
  4. Step 4: Simplify right side
    825.58x = 715,574.09
  5. Step 5: Solve for x
    x = 715,574.09/825.58
  6. Step 6: Final answer
    x = 866.75

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Double scale
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1.5x scale

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.