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Finding the Fourth Proportional to 713.98, 1,071.33 and 329.50

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Solution

The fourth proportional to 713.98, 1,071.33 and 329.50 is: 494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.98 : 1,071.33 = 329.50 : x
  2. Step 2: Convert to fraction form
    713.98/1,071.33 = 329.50/x
  3. Step 3: Cross multiply
    713.98x = 1,071.33 × 329.50
  4. Step 4: Simplify right side
    713.98x = 353,003.24
  5. Step 5: Solve for x
    x = 353,003.24/713.98
  6. Step 6: Final answer
    x = 494.42

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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.