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Finding the Fourth Proportional to 512.86, 766.63 and 381.64

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Solution

The fourth proportional to 512.86, 766.63 and 381.64 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.86 : 766.63 = 381.64 : x
  2. Step 2: Convert to fraction form
    512.86/766.63 = 381.64/x
  3. Step 3: Cross multiply
    512.86x = 766.63 × 381.64
  4. Step 4: Simplify right side
    512.86x = 292,576.67
  5. Step 5: Solve for x
    x = 292,576.67/512.86
  6. Step 6: Final answer
    x = 570.48

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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.