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Finding the Fourth Proportional to 969.06, 1,453.74 and 622.17

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Solution

The fourth proportional to 969.06, 1,453.74 and 622.17 is: 933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,453.74 = 622.17 : x
  2. Step 2: Convert to fraction form
    969.06/1,453.74 = 622.17/x
  3. Step 3: Cross multiply
    969.06x = 1,453.74 × 622.17
  4. Step 4: Simplify right side
    969.06x = 904,473.42
  5. Step 5: Solve for x
    x = 904,473.42/969.06
  6. Step 6: Final answer
    x = 933.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.