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Finding the Fourth Proportional to 698.41, 1,047.61 and 333.11

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Solution

The fourth proportional to 698.41, 1,047.61 and 333.11 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.41 : 1,047.61 = 333.11 : x
  2. Step 2: Convert to fraction form
    698.41/1,047.61 = 333.11/x
  3. Step 3: Cross multiply
    698.41x = 1,047.61 × 333.11
  4. Step 4: Simplify right side
    698.41x = 348,970.26
  5. Step 5: Solve for x
    x = 348,970.26/698.41
  6. Step 6: Final answer
    x = 499.67

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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.