Home / 1,427.06-2,140.26-646.58

Finding the Fourth Proportional to 1,427.06, 2,140.26 and 646.58

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Solution

The fourth proportional to 1,427.06, 2,140.26 and 646.58 is: 969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.06 : 2,140.26 = 646.58 : x
  2. Step 2: Convert to fraction form
    1,427.06/2,140.26 = 646.58/x
  3. Step 3: Cross multiply
    1,427.06x = 2,140.26 × 646.58
  4. Step 4: Simplify right side
    1,427.06x = 1,383,849.31
  5. Step 5: Solve for x
    x = 1,383,849.31/1,427.06
  6. Step 6: Final answer
    x = 969.72

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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.