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Finding the Fourth Proportional to 1,458, 2,012.02 and 868.56

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Solution

The fourth proportional to 1,458, 2,012.02 and 868.56 is: 1,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458 : 2,012.02 = 868.56 : x
  2. Step 2: Convert to fraction form
    1,458/2,012.02 = 868.56/x
  3. Step 3: Cross multiply
    1,458x = 2,012.02 × 868.56
  4. Step 4: Simplify right side
    1,458x = 1,747,560.09
  5. Step 5: Solve for x
    x = 1,747,560.09/1,458
  6. Step 6: Final answer
    x = 1,198.60

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