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Finding the Fourth Proportional to 512.27, 771.83 and 463.58

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Solution

The fourth proportional to 512.27, 771.83 and 463.58 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.27 : 771.83 = 463.58 : x
  2. Step 2: Convert to fraction form
    512.27/771.83 = 463.58/x
  3. Step 3: Cross multiply
    512.27x = 771.83 × 463.58
  4. Step 4: Simplify right side
    512.27x = 357,804.95
  5. Step 5: Solve for x
    x = 357,804.95/512.27
  6. Step 6: Final answer
    x = 698.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.