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Finding the Fourth Proportional to 825.07, 1,235.75 and 579.37

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Solution

The fourth proportional to 825.07, 1,235.75 and 579.37 is: 867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.07 : 1,235.75 = 579.37 : x
  2. Step 2: Convert to fraction form
    825.07/1,235.75 = 579.37/x
  3. Step 3: Cross multiply
    825.07x = 1,235.75 × 579.37
  4. Step 4: Simplify right side
    825.07x = 715,956.48
  5. Step 5: Solve for x
    x = 715,956.48/825.07
  6. Step 6: Final answer
    x = 867.75

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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.