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Finding the Fourth Proportional to 947.75, 1,308.22 and 589.12

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Solution

The fourth proportional to 947.75, 1,308.22 and 589.12 is: 813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.75 : 1,308.22 = 589.12 : x
  2. Step 2: Convert to fraction form
    947.75/1,308.22 = 589.12/x
  3. Step 3: Cross multiply
    947.75x = 1,308.22 × 589.12
  4. Step 4: Simplify right side
    947.75x = 770,698.57
  5. Step 5: Solve for x
    x = 770,698.57/947.75
  6. Step 6: Final answer
    x = 813.19

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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.