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Finding the Fourth Proportional to 1,338.02, 1,845.06 and 896.02

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Solution

The fourth proportional to 1,338.02, 1,845.06 and 896.02 is: 1,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.02 : 1,845.06 = 896.02 : x
  2. Step 2: Convert to fraction form
    1,338.02/1,845.06 = 896.02/x
  3. Step 3: Cross multiply
    1,338.02x = 1,845.06 × 896.02
  4. Step 4: Simplify right side
    1,338.02x = 1,653,210.66
  5. Step 5: Solve for x
    x = 1,653,210.66/1,338.02
  6. Step 6: Final answer
    x = 1,235.56

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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.