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Finding the Fourth Proportional to 841.73, 1,260.17 and 516.11

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Solution

The fourth proportional to 841.73, 1,260.17 and 516.11 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.73 : 1,260.17 = 516.11 : x
  2. Step 2: Convert to fraction form
    841.73/1,260.17 = 516.11/x
  3. Step 3: Cross multiply
    841.73x = 1,260.17 × 516.11
  4. Step 4: Simplify right side
    841.73x = 650,383.76
  5. Step 5: Solve for x
    x = 650,383.76/841.73
  6. Step 6: Final answer
    x = 772.68

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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.