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Finding the Fourth Proportional to 1,842.64, 2,763.39 and 609.76

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Solution

The fourth proportional to 1,842.64, 2,763.39 and 609.76 is: 914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.64 : 2,763.39 = 609.76 : x
  2. Step 2: Convert to fraction form
    1,842.64/2,763.39 = 609.76/x
  3. Step 3: Cross multiply
    1,842.64x = 2,763.39 × 609.76
  4. Step 4: Simplify right side
    1,842.64x = 1,685,004.69
  5. Step 5: Solve for x
    x = 1,685,004.69/1,842.64
  6. Step 6: Final answer
    x = 914.45

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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.