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Finding the Fourth Proportional to 969.26, 1,337.06 and 614.52

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Solution

The fourth proportional to 969.26, 1,337.06 and 614.52 is: 847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.26 : 1,337.06 = 614.52 : x
  2. Step 2: Convert to fraction form
    969.26/1,337.06 = 614.52/x
  3. Step 3: Cross multiply
    969.26x = 1,337.06 × 614.52
  4. Step 4: Simplify right side
    969.26x = 821,651.65
  5. Step 5: Solve for x
    x = 821,651.65/969.26
  6. Step 6: Final answer
    x = 847.71

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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.