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Finding the Fourth Proportional to 1,412.38, 2,118.85 and 438.44

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Solution

The fourth proportional to 1,412.38, 2,118.85 and 438.44 is: 657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.38 : 2,118.85 = 438.44 : x
  2. Step 2: Convert to fraction form
    1,412.38/2,118.85 = 438.44/x
  3. Step 3: Cross multiply
    1,412.38x = 2,118.85 × 438.44
  4. Step 4: Simplify right side
    1,412.38x = 928,988.59
  5. Step 5: Solve for x
    x = 928,988.59/1,412.38
  6. Step 6: Final answer
    x = 657.75

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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.