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Finding the Fourth Proportional to 773.49, 1,159.93 and 449.09

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Solution

The fourth proportional to 773.49, 1,159.93 and 449.09 is: 673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.49 : 1,159.93 = 449.09 : x
  2. Step 2: Convert to fraction form
    773.49/1,159.93 = 449.09/x
  3. Step 3: Cross multiply
    773.49x = 1,159.93 × 449.09
  4. Step 4: Simplify right side
    773.49x = 520,906.04
  5. Step 5: Solve for x
    x = 520,906.04/773.49
  6. Step 6: Final answer
    x = 673.45

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1.5x scale

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.