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Finding the Fourth Proportional to 901.67, 1,243.91 and 528.67

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Solution

The fourth proportional to 901.67, 1,243.91 and 528.67 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.67 : 1,243.91 = 528.67 : x
  2. Step 2: Convert to fraction form
    901.67/1,243.91 = 528.67/x
  3. Step 3: Cross multiply
    901.67x = 1,243.91 × 528.67
  4. Step 4: Simplify right side
    901.67x = 657,611.68
  5. Step 5: Solve for x
    x = 657,611.68/901.67
  6. Step 6: Final answer
    x = 729.33

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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.