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Finding the Fourth Proportional to 2,399.89, 3,599.55 and 645.03

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Solution

The fourth proportional to 2,399.89, 3,599.55 and 645.03 is: 967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.89 : 3,599.55 = 645.03 : x
  2. Step 2: Convert to fraction form
    2,399.89/3,599.55 = 645.03/x
  3. Step 3: Cross multiply
    2,399.89x = 3,599.55 × 645.03
  4. Step 4: Simplify right side
    2,399.89x = 2,321,817.74
  5. Step 5: Solve for x
    x = 2,321,817.74/2,399.89
  6. Step 6: Final answer
    x = 967.47

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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.