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Finding the Fourth Proportional to 1,296.95, 1,944.86 and 419.13

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Solution

The fourth proportional to 1,296.95, 1,944.86 and 419.13 is: 628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.95 : 1,944.86 = 419.13 : x
  2. Step 2: Convert to fraction form
    1,296.95/1,944.86 = 419.13/x
  3. Step 3: Cross multiply
    1,296.95x = 1,944.86 × 419.13
  4. Step 4: Simplify right side
    1,296.95x = 815,147.08
  5. Step 5: Solve for x
    x = 815,147.08/1,296.95
  6. Step 6: Final answer
    x = 628.51

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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.