Home / 1,456.96-2,185.44-431.04

Finding the Fourth Proportional to 1,456.96, 2,185.44 and 431.04

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Solution

The fourth proportional to 1,456.96, 2,185.44 and 431.04 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.96 : 2,185.44 = 431.04 : x
  2. Step 2: Convert to fraction form
    1,456.96/2,185.44 = 431.04/x
  3. Step 3: Cross multiply
    1,456.96x = 2,185.44 × 431.04
  4. Step 4: Simplify right side
    1,456.96x = 942,012.06
  5. Step 5: Solve for x
    x = 942,012.06/1,456.96
  6. Step 6: Final answer
    x = 646.56

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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.