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Finding the Fourth Proportional to 512.19, 771.05 and 467.55

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Solution

The fourth proportional to 512.19, 771.05 and 467.55 is: 703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 771.05 = 467.55 : x
  2. Step 2: Convert to fraction form
    512.19/771.05 = 467.55/x
  3. Step 3: Cross multiply
    512.19x = 771.05 × 467.55
  4. Step 4: Simplify right side
    512.19x = 360,505.60
  5. Step 5: Solve for x
    x = 360,505.60/512.19
  6. Step 6: Final answer
    x = 703.85

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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.