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Finding the Fourth Proportional to 1,147.98, 1,719.09 and 905.82

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Solution

The fourth proportional to 1,147.98, 1,719.09 and 905.82 is: 1,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.98 : 1,719.09 = 905.82 : x
  2. Step 2: Convert to fraction form
    1,147.98/1,719.09 = 905.82/x
  3. Step 3: Cross multiply
    1,147.98x = 1,719.09 × 905.82
  4. Step 4: Simplify right side
    1,147.98x = 1,557,186.10
  5. Step 5: Solve for x
    x = 1,557,186.10/1,147.98
  6. Step 6: Final answer
    x = 1,356.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.