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Finding the Fourth Proportional to 939.05, 1,295.88 and 589.67

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Solution

The fourth proportional to 939.05, 1,295.88 and 589.67 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.05 : 1,295.88 = 589.67 : x
  2. Step 2: Convert to fraction form
    939.05/1,295.88 = 589.67/x
  3. Step 3: Cross multiply
    939.05x = 1,295.88 × 589.67
  4. Step 4: Simplify right side
    939.05x = 764,141.56
  5. Step 5: Solve for x
    x = 764,141.56/939.05
  6. Step 6: Final answer
    x = 813.74

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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.