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Finding the Fourth Proportional to 930.44, 1,396.01 and 491.67

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Solution

The fourth proportional to 930.44, 1,396.01 and 491.67 is: 737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.44 : 1,396.01 = 491.67 : x
  2. Step 2: Convert to fraction form
    930.44/1,396.01 = 491.67/x
  3. Step 3: Cross multiply
    930.44x = 1,396.01 × 491.67
  4. Step 4: Simplify right side
    930.44x = 686,369.26
  5. Step 5: Solve for x
    x = 686,369.26/930.44
  6. Step 6: Final answer
    x = 737.69

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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.