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Finding the Fourth Proportional to 875.83, 1,313.75 and 822.37

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Solution

The fourth proportional to 875.83, 1,313.75 and 822.37 is: 1,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.83 : 1,313.75 = 822.37 : x
  2. Step 2: Convert to fraction form
    875.83/1,313.75 = 822.37/x
  3. Step 3: Cross multiply
    875.83x = 1,313.75 × 822.37
  4. Step 4: Simplify right side
    875.83x = 1,080,388.59
  5. Step 5: Solve for x
    x = 1,080,388.59/875.83
  6. Step 6: Final answer
    x = 1,233.56

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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.