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Finding the Fourth Proportional to 1,598.45, 2,393.01 and 1,444.73

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Solution

The fourth proportional to 1,598.45, 2,393.01 and 1,444.73 is: 2,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.45 : 2,393.01 = 1,444.73 : x
  2. Step 2: Convert to fraction form
    1,598.45/2,393.01 = 1,444.73/x
  3. Step 3: Cross multiply
    1,598.45x = 2,393.01 × 1,444.73
  4. Step 4: Simplify right side
    1,598.45x = 3,457,241.37
  5. Step 5: Solve for x
    x = 3,457,241.37/1,598.45
  6. Step 6: Final answer
    x = 2,162.88

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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.