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Finding the Fourth Proportional to 746.24, 1,119.94 and 516.73

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Solution

The fourth proportional to 746.24, 1,119.94 and 516.73 is: 775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.24 : 1,119.94 = 516.73 : x
  2. Step 2: Convert to fraction form
    746.24/1,119.94 = 516.73/x
  3. Step 3: Cross multiply
    746.24x = 1,119.94 × 516.73
  4. Step 4: Simplify right side
    746.24x = 578,707.84
  5. Step 5: Solve for x
    x = 578,707.84/746.24
  6. Step 6: Final answer
    x = 775.50

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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.