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Finding the Fourth Proportional to 1,104, 1,659.60 and 1,023.84

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Solution

The fourth proportional to 1,104, 1,659.60 and 1,023.84 is: 1,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104 : 1,659.60 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    1,104/1,659.60 = 1,023.84/x
  3. Step 3: Cross multiply
    1,104x = 1,659.60 × 1,023.84
  4. Step 4: Simplify right side
    1,104x = 1,699,164.86
  5. Step 5: Solve for x
    x = 1,699,164.86/1,104
  6. Step 6: Final answer
    x = 1,539.10

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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.