Home / 1,511.63-2,268.45-646.14

Finding the Fourth Proportional to 1,511.63, 2,268.45 and 646.14

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Solution

The fourth proportional to 1,511.63, 2,268.45 and 646.14 is: 969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.63 : 2,268.45 = 646.14 : x
  2. Step 2: Convert to fraction form
    1,511.63/2,268.45 = 646.14/x
  3. Step 3: Cross multiply
    1,511.63x = 2,268.45 × 646.14
  4. Step 4: Simplify right side
    1,511.63x = 1,465,736.28
  5. Step 5: Solve for x
    x = 1,465,736.28/1,511.63
  6. Step 6: Final answer
    x = 969.64

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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.