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Finding the Fourth Proportional to 1,052.21, 1,443.48 and 989.39

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Solution

The fourth proportional to 1,052.21, 1,443.48 and 989.39 is: 1,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.21 : 1,443.48 = 989.39 : x
  2. Step 2: Convert to fraction form
    1,052.21/1,443.48 = 989.39/x
  3. Step 3: Cross multiply
    1,052.21x = 1,443.48 × 989.39
  4. Step 4: Simplify right side
    1,052.21x = 1,428,157.46
  5. Step 5: Solve for x
    x = 1,428,157.46/1,052.21
  6. Step 6: Final answer
    x = 1,357.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.