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Finding the Fourth Proportional to 821.99, 1,231.77 and 761.24

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Solution

The fourth proportional to 821.99, 1,231.77 and 761.24 is: 1,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.99 : 1,231.77 = 761.24 : x
  2. Step 2: Convert to fraction form
    821.99/1,231.77 = 761.24/x
  3. Step 3: Cross multiply
    821.99x = 1,231.77 × 761.24
  4. Step 4: Simplify right side
    821.99x = 937,672.59
  5. Step 5: Solve for x
    x = 937,672.59/821.99
  6. Step 6: Final answer
    x = 1,140.73

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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.