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Finding the Fourth Proportional to 1,252.77, 1,879.45 and 431.07

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Solution

The fourth proportional to 1,252.77, 1,879.45 and 431.07 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.77 : 1,879.45 = 431.07 : x
  2. Step 2: Convert to fraction form
    1,252.77/1,879.45 = 431.07/x
  3. Step 3: Cross multiply
    1,252.77x = 1,879.45 × 431.07
  4. Step 4: Simplify right side
    1,252.77x = 810,179.38
  5. Step 5: Solve for x
    x = 810,179.38/1,252.77
  6. Step 6: Final answer
    x = 646.71

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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.