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Finding the Fourth Proportional to 841.86, 1,261.40 and 516.54

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Solution

The fourth proportional to 841.86, 1,261.40 and 516.54 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.86 : 1,261.40 = 516.54 : x
  2. Step 2: Convert to fraction form
    841.86/1,261.40 = 516.54/x
  3. Step 3: Cross multiply
    841.86x = 1,261.40 × 516.54
  4. Step 4: Simplify right side
    841.86x = 651,563.56
  5. Step 5: Solve for x
    x = 651,563.56/841.86
  6. Step 6: Final answer
    x = 773.96

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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.