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Finding the Fourth Proportional to 2,594.29, 3,891.44 and 646.49

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Solution

The fourth proportional to 2,594.29, 3,891.44 and 646.49 is: 969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.29 : 3,891.44 = 646.49 : x
  2. Step 2: Convert to fraction form
    2,594.29/3,891.44 = 646.49/x
  3. Step 3: Cross multiply
    2,594.29x = 3,891.44 × 646.49
  4. Step 4: Simplify right side
    2,594.29x = 2,515,777.05
  5. Step 5: Solve for x
    x = 2,515,777.05/2,594.29
  6. Step 6: Final answer
    x = 969.74

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Double scale
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Similar ratio
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1.5x scale

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.