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Finding the Fourth Proportional to 511.68, 771.27 and 467.86

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Solution

The fourth proportional to 511.68, 771.27 and 467.86 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 771.27 = 467.86 : x
  2. Step 2: Convert to fraction form
    511.68/771.27 = 467.86/x
  3. Step 3: Cross multiply
    511.68x = 771.27 × 467.86
  4. Step 4: Simplify right side
    511.68x = 360,846.78
  5. Step 5: Solve for x
    x = 360,846.78/511.68
  6. Step 6: Final answer
    x = 705.21

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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.