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Finding the Fourth Proportional to 2,597.22, 3,895.79 and 649.44

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Solution

The fourth proportional to 2,597.22, 3,895.79 and 649.44 is: 974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.22 : 3,895.79 = 649.44 : x
  2. Step 2: Convert to fraction form
    2,597.22/3,895.79 = 649.44/x
  3. Step 3: Cross multiply
    2,597.22x = 3,895.79 × 649.44
  4. Step 4: Simplify right side
    2,597.22x = 2,530,078.61
  5. Step 5: Solve for x
    x = 2,530,078.61/2,597.22
  6. Step 6: Final answer
    x = 974.15

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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.