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Finding the Fourth Proportional to 513.44, 766.42 and 448.64

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Solution

The fourth proportional to 513.44, 766.42 and 448.64 is: 669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 766.42 = 448.64 : x
  2. Step 2: Convert to fraction form
    513.44/766.42 = 448.64/x
  3. Step 3: Cross multiply
    513.44x = 766.42 × 448.64
  4. Step 4: Simplify right side
    513.44x = 343,846.67
  5. Step 5: Solve for x
    x = 343,846.67/513.44
  6. Step 6: Final answer
    x = 669.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.