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Finding the Fourth Proportional to 2,594.44, 3,891.60 and 646.64

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Solution

The fourth proportional to 2,594.44, 3,891.60 and 646.64 is: 969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.44 : 3,891.60 = 646.64 : x
  2. Step 2: Convert to fraction form
    2,594.44/3,891.60 = 646.64/x
  3. Step 3: Cross multiply
    2,594.44x = 3,891.60 × 646.64
  4. Step 4: Simplify right side
    2,594.44x = 2,516,464.22
  5. Step 5: Solve for x
    x = 2,516,464.22/2,594.44
  6. Step 6: Final answer
    x = 969.95

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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.