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Finding the Fourth Proportional to 1,253.44, 1,879.50 and 431.41

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Solution

The fourth proportional to 1,253.44, 1,879.50 and 431.41 is: 646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.44 : 1,879.50 = 431.41 : x
  2. Step 2: Convert to fraction form
    1,253.44/1,879.50 = 431.41/x
  3. Step 3: Cross multiply
    1,253.44x = 1,879.50 × 431.41
  4. Step 4: Simplify right side
    1,253.44x = 810,835.10
  5. Step 5: Solve for x
    x = 810,835.10/1,253.44
  6. Step 6: Final answer
    x = 646.89

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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.