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Finding the Fourth Proportional to 1,645.03, 2,464.70 and 863.87

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Solution

The fourth proportional to 1,645.03, 2,464.70 and 863.87 is: 1,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.03 : 2,464.70 = 863.87 : x
  2. Step 2: Convert to fraction form
    1,645.03/2,464.70 = 863.87/x
  3. Step 3: Cross multiply
    1,645.03x = 2,464.70 × 863.87
  4. Step 4: Simplify right side
    1,645.03x = 2,129,171.04
  5. Step 5: Solve for x
    x = 2,129,171.04/1,645.03
  6. Step 6: Final answer
    x = 1,294.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.