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Finding the Fourth Proportional to 969.45, 1,452.83 and 924.09

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Solution

The fourth proportional to 969.45, 1,452.83 and 924.09 is: 1,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.45 : 1,452.83 = 924.09 : x
  2. Step 2: Convert to fraction form
    969.45/1,452.83 = 924.09/x
  3. Step 3: Cross multiply
    969.45x = 1,452.83 × 924.09
  4. Step 4: Simplify right side
    969.45x = 1,342,541.05
  5. Step 5: Solve for x
    x = 1,342,541.05/969.45
  6. Step 6: Final answer
    x = 1,384.85

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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.