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Finding the Fourth Proportional to 1,210.91, 1,813.75 and 516.67

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Solution

The fourth proportional to 1,210.91, 1,813.75 and 516.67 is: 773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.91 : 1,813.75 = 516.67 : x
  2. Step 2: Convert to fraction form
    1,210.91/1,813.75 = 516.67/x
  3. Step 3: Cross multiply
    1,210.91x = 1,813.75 × 516.67
  4. Step 4: Simplify right side
    1,210.91x = 937,104.39
  5. Step 5: Solve for x
    x = 937,104.39/1,210.91
  6. Step 6: Final answer
    x = 773.89

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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.