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Finding the Fourth Proportional to 754.56, 1,040.58 and 698.67

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Solution

The fourth proportional to 754.56, 1,040.58 and 698.67 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.56 : 1,040.58 = 698.67 : x
  2. Step 2: Convert to fraction form
    754.56/1,040.58 = 698.67/x
  3. Step 3: Cross multiply
    754.56x = 1,040.58 × 698.67
  4. Step 4: Simplify right side
    754.56x = 727,022.03
  5. Step 5: Solve for x
    x = 727,022.03/754.56
  6. Step 6: Final answer
    x = 963.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.