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Finding the Fourth Proportional to 969.68, 1,453.44 and 384.14

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Solution

The fourth proportional to 969.68, 1,453.44 and 384.14 is: 575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.68 : 1,453.44 = 384.14 : x
  2. Step 2: Convert to fraction form
    969.68/1,453.44 = 384.14/x
  3. Step 3: Cross multiply
    969.68x = 1,453.44 × 384.14
  4. Step 4: Simplify right side
    969.68x = 558,324.44
  5. Step 5: Solve for x
    x = 558,324.44/969.68
  6. Step 6: Final answer
    x = 575.78

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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.