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Finding the Fourth Proportional to 512.63, 766.59 and 382.71

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Solution

The fourth proportional to 512.63, 766.59 and 382.71 is: 572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.63 : 766.59 = 382.71 : x
  2. Step 2: Convert to fraction form
    512.63/766.59 = 382.71/x
  3. Step 3: Cross multiply
    512.63x = 766.59 × 382.71
  4. Step 4: Simplify right side
    512.63x = 293,381.66
  5. Step 5: Solve for x
    x = 293,381.66/512.63
  6. Step 6: Final answer
    x = 572.31

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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.