Home / 1,296.38-1,944.78-430.90

Finding the Fourth Proportional to 1,296.38, 1,944.78 and 430.90

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Solution

The fourth proportional to 1,296.38, 1,944.78 and 430.90 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.38 : 1,944.78 = 430.90 : x
  2. Step 2: Convert to fraction form
    1,296.38/1,944.78 = 430.90/x
  3. Step 3: Cross multiply
    1,296.38x = 1,944.78 × 430.90
  4. Step 4: Simplify right side
    1,296.38x = 838,005.70
  5. Step 5: Solve for x
    x = 838,005.70/1,296.38
  6. Step 6: Final answer
    x = 646.42

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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.