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Finding the Fourth Proportional to 1,368.32, 2,052.75 and 443.71

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Solution

The fourth proportional to 1,368.32, 2,052.75 and 443.71 is: 665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.32 : 2,052.75 = 443.71 : x
  2. Step 2: Convert to fraction form
    1,368.32/2,052.75 = 443.71/x
  3. Step 3: Cross multiply
    1,368.32x = 2,052.75 × 443.71
  4. Step 4: Simplify right side
    1,368.32x = 910,815.44
  5. Step 5: Solve for x
    x = 910,815.44/1,368.32
  6. Step 6: Final answer
    x = 665.65

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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.