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Finding the Fourth Proportional to 1,742.74, 2,614.12 and 444.22

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Solution

The fourth proportional to 1,742.74, 2,614.12 and 444.22 is: 666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.74 : 2,614.12 = 444.22 : x
  2. Step 2: Convert to fraction form
    1,742.74/2,614.12 = 444.22/x
  3. Step 3: Cross multiply
    1,742.74x = 2,614.12 × 444.22
  4. Step 4: Simplify right side
    1,742.74x = 1,161,244.39
  5. Step 5: Solve for x
    x = 1,161,244.39/1,742.74
  6. Step 6: Final answer
    x = 666.33

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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.