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Finding the Fourth Proportional to 1,041.56, 1,428.23 and 1,006.63

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Solution

The fourth proportional to 1,041.56, 1,428.23 and 1,006.63 is: 1,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.56 : 1,428.23 = 1,006.63 : x
  2. Step 2: Convert to fraction form
    1,041.56/1,428.23 = 1,006.63/x
  3. Step 3: Cross multiply
    1,041.56x = 1,428.23 × 1,006.63
  4. Step 4: Simplify right side
    1,041.56x = 1,437,698.11
  5. Step 5: Solve for x
    x = 1,437,698.11/1,041.56
  6. Step 6: Final answer
    x = 1,380.33

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