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Finding the Fourth Proportional to 1,296.34, 1,944.19 and 646.92

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Solution

The fourth proportional to 1,296.34, 1,944.19 and 646.92 is: 970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.34 : 1,944.19 = 646.92 : x
  2. Step 2: Convert to fraction form
    1,296.34/1,944.19 = 646.92/x
  3. Step 3: Cross multiply
    1,296.34x = 1,944.19 × 646.92
  4. Step 4: Simplify right side
    1,296.34x = 1,257,735.39
  5. Step 5: Solve for x
    x = 1,257,735.39/1,296.34
  6. Step 6: Final answer
    x = 970.22

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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.