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Finding the Fourth Proportional to 1,833.60, 2,751.08 and 663.72

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Solution

The fourth proportional to 1,833.60, 2,751.08 and 663.72 is: 995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.60 : 2,751.08 = 663.72 : x
  2. Step 2: Convert to fraction form
    1,833.60/2,751.08 = 663.72/x
  3. Step 3: Cross multiply
    1,833.60x = 2,751.08 × 663.72
  4. Step 4: Simplify right side
    1,833.60x = 1,825,946.82
  5. Step 5: Solve for x
    x = 1,825,946.82/1,833.60
  6. Step 6: Final answer
    x = 995.83

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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.