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Finding the Fourth Proportional to 1,296.40, 1,944.60 and 968.35

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Solution

The fourth proportional to 1,296.40, 1,944.60 and 968.35 is: 1,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.40 : 1,944.60 = 968.35 : x
  2. Step 2: Convert to fraction form
    1,296.40/1,944.60 = 968.35/x
  3. Step 3: Cross multiply
    1,296.40x = 1,944.60 × 968.35
  4. Step 4: Simplify right side
    1,296.40x = 1,883,053.41
  5. Step 5: Solve for x
    x = 1,883,053.41/1,296.40
  6. Step 6: Final answer
    x = 1,452.53

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1.5x scale

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.