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Finding the Fourth Proportional to 758.22, 1,135.50 and 449.81

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Solution

The fourth proportional to 758.22, 1,135.50 and 449.81 is: 673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.22 : 1,135.50 = 449.81 : x
  2. Step 2: Convert to fraction form
    758.22/1,135.50 = 449.81/x
  3. Step 3: Cross multiply
    758.22x = 1,135.50 × 449.81
  4. Step 4: Simplify right side
    758.22x = 510,759.26
  5. Step 5: Solve for x
    x = 510,759.26/758.22
  6. Step 6: Final answer
    x = 673.63

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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.