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Finding the Fourth Proportional to 713.42, 1,069.84 and 219.67

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Solution

The fourth proportional to 713.42, 1,069.84 and 219.67 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 1,069.84 = 219.67 : x
  2. Step 2: Convert to fraction form
    713.42/1,069.84 = 219.67/x
  3. Step 3: Cross multiply
    713.42x = 1,069.84 × 219.67
  4. Step 4: Simplify right side
    713.42x = 235,011.75
  5. Step 5: Solve for x
    x = 235,011.75/713.42
  6. Step 6: Final answer
    x = 329.42

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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.