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Finding the Fourth Proportional to 969.55, 1,447.21 and 833.47

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Solution

The fourth proportional to 969.55, 1,447.21 and 833.47 is: 1,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.55 : 1,447.21 = 833.47 : x
  2. Step 2: Convert to fraction form
    969.55/1,447.21 = 833.47/x
  3. Step 3: Cross multiply
    969.55x = 1,447.21 × 833.47
  4. Step 4: Simplify right side
    969.55x = 1,206,206.12
  5. Step 5: Solve for x
    x = 1,206,206.12/969.55
  6. Step 6: Final answer
    x = 1,244.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.