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Finding the Fourth Proportional to 511.50, 771.41 and 471.41

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Solution

The fourth proportional to 511.50, 771.41 and 471.41 is: 710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 771.41 = 471.41 : x
  2. Step 2: Convert to fraction form
    511.50/771.41 = 471.41/x
  3. Step 3: Cross multiply
    511.50x = 771.41 × 471.41
  4. Step 4: Simplify right side
    511.50x = 363,650.39
  5. Step 5: Solve for x
    x = 363,650.39/511.50
  6. Step 6: Final answer
    x = 710.95

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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.