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Finding the Fourth Proportional to 875.99, 1,313.97 and 822.53

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Solution

The fourth proportional to 875.99, 1,313.97 and 822.53 is: 1,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.99 : 1,313.97 = 822.53 : x
  2. Step 2: Convert to fraction form
    875.99/1,313.97 = 822.53/x
  3. Step 3: Cross multiply
    875.99x = 1,313.97 × 822.53
  4. Step 4: Simplify right side
    875.99x = 1,080,773.17
  5. Step 5: Solve for x
    x = 1,080,773.17/875.99
  6. Step 6: Final answer
    x = 1,233.78

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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.