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Finding the Fourth Proportional to 969.80, 1,447 and 900.98

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Solution

The fourth proportional to 969.80, 1,447 and 900.98 is: 1,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.80 : 1,447 = 900.98 : x
  2. Step 2: Convert to fraction form
    969.80/1,447 = 900.98/x
  3. Step 3: Cross multiply
    969.80x = 1,447 × 900.98
  4. Step 4: Simplify right side
    969.80x = 1,303,718.06
  5. Step 5: Solve for x
    x = 1,303,718.06/969.80
  6. Step 6: Final answer
    x = 1,344.32

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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.