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Finding the Fourth Proportional to 774.64, 1,162.16 and 449.69

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Solution

The fourth proportional to 774.64, 1,162.16 and 449.69 is: 674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.64 : 1,162.16 = 449.69 : x
  2. Step 2: Convert to fraction form
    774.64/1,162.16 = 449.69/x
  3. Step 3: Cross multiply
    774.64x = 1,162.16 × 449.69
  4. Step 4: Simplify right side
    774.64x = 522,609.48
  5. Step 5: Solve for x
    x = 522,609.48/774.64
  6. Step 6: Final answer
    x = 674.65

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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.