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Finding the Fourth Proportional to 969.36, 1,453.71 and 420.99

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Solution

The fourth proportional to 969.36, 1,453.71 and 420.99 is: 631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.36 : 1,453.71 = 420.99 : x
  2. Step 2: Convert to fraction form
    969.36/1,453.71 = 420.99/x
  3. Step 3: Cross multiply
    969.36x = 1,453.71 × 420.99
  4. Step 4: Simplify right side
    969.36x = 611,997.37
  5. Step 5: Solve for x
    x = 611,997.37/969.36
  6. Step 6: Final answer
    x = 631.34

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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.