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Finding the Fourth Proportional to 969.94, 1,452.12 and 901.60

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Solution

The fourth proportional to 969.94, 1,452.12 and 901.60 is: 1,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.94 : 1,452.12 = 901.60 : x
  2. Step 2: Convert to fraction form
    969.94/1,452.12 = 901.60/x
  3. Step 3: Cross multiply
    969.94x = 1,452.12 × 901.60
  4. Step 4: Simplify right side
    969.94x = 1,309,224.13
  5. Step 5: Solve for x
    x = 1,309,224.13/969.94
  6. Step 6: Final answer
    x = 1,349.80

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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.