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Finding the Fourth Proportional to 1,797.42, 2,680.50 and 1,598.32

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Solution

The fourth proportional to 1,797.42, 2,680.50 and 1,598.32 is: 2,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.42 : 2,680.50 = 1,598.32 : x
  2. Step 2: Convert to fraction form
    1,797.42/2,680.50 = 1,598.32/x
  3. Step 3: Cross multiply
    1,797.42x = 2,680.50 × 1,598.32
  4. Step 4: Simplify right side
    1,797.42x = 4,284,275.37
  5. Step 5: Solve for x
    x = 4,284,275.37/1,797.42
  6. Step 6: Final answer
    x = 2,383.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.