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Finding the Fourth Proportional to 1,450.07, 1,998.41 and 1,030.44

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Solution

The fourth proportional to 1,450.07, 1,998.41 and 1,030.44 is: 1,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.07 : 1,998.41 = 1,030.44 : x
  2. Step 2: Convert to fraction form
    1,450.07/1,998.41 = 1,030.44/x
  3. Step 3: Cross multiply
    1,450.07x = 1,998.41 × 1,030.44
  4. Step 4: Simplify right side
    1,450.07x = 2,059,236.45
  5. Step 5: Solve for x
    x = 2,059,236.45/1,450.07
  6. Step 6: Final answer
    x = 1,420.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.