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Finding the Fourth Proportional to 773.99, 1,160.68 and 449.59

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Solution

The fourth proportional to 773.99, 1,160.68 and 449.59 is: 674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.99 : 1,160.68 = 449.59 : x
  2. Step 2: Convert to fraction form
    773.99/1,160.68 = 449.59/x
  3. Step 3: Cross multiply
    773.99x = 1,160.68 × 449.59
  4. Step 4: Simplify right side
    773.99x = 521,822.07
  5. Step 5: Solve for x
    x = 521,822.07/773.99
  6. Step 6: Final answer
    x = 674.20

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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.