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Finding the Fourth Proportional to 1,635.20, 2,448.48 and 864.08

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Solution

The fourth proportional to 1,635.20, 2,448.48 and 864.08 is: 1,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.20 : 2,448.48 = 864.08 : x
  2. Step 2: Convert to fraction form
    1,635.20/2,448.48 = 864.08/x
  3. Step 3: Cross multiply
    1,635.20x = 2,448.48 × 864.08
  4. Step 4: Simplify right side
    1,635.20x = 2,115,682.60
  5. Step 5: Solve for x
    x = 2,115,682.60/1,635.20
  6. Step 6: Final answer
    x = 1,293.84

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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.