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Finding the Fourth Proportional to 1,253.57, 1,879.90 and 431.62

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Solution

The fourth proportional to 1,253.57, 1,879.90 and 431.62 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.57 : 1,879.90 = 431.62 : x
  2. Step 2: Convert to fraction form
    1,253.57/1,879.90 = 431.62/x
  3. Step 3: Cross multiply
    1,253.57x = 1,879.90 × 431.62
  4. Step 4: Simplify right side
    1,253.57x = 811,396.66
  5. Step 5: Solve for x
    x = 811,396.66/1,253.57
  6. Step 6: Final answer
    x = 647.27

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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.