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Finding the Fourth Proportional to 969.52, 1,452.48 and 657.02

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Solution

The fourth proportional to 969.52, 1,452.48 and 657.02 is: 984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,452.48 = 657.02 : x
  2. Step 2: Convert to fraction form
    969.52/1,452.48 = 657.02/x
  3. Step 3: Cross multiply
    969.52x = 1,452.48 × 657.02
  4. Step 4: Simplify right side
    969.52x = 954,308.41
  5. Step 5: Solve for x
    x = 954,308.41/969.52
  6. Step 6: Final answer
    x = 984.31

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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.