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Finding the Fourth Proportional to 1,054.82, 1,581.26 and 405.42

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Solution

The fourth proportional to 1,054.82, 1,581.26 and 405.42 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.82 : 1,581.26 = 405.42 : x
  2. Step 2: Convert to fraction form
    1,054.82/1,581.26 = 405.42/x
  3. Step 3: Cross multiply
    1,054.82x = 1,581.26 × 405.42
  4. Step 4: Simplify right side
    1,054.82x = 641,072.40
  5. Step 5: Solve for x
    x = 641,072.40/1,054.82
  6. Step 6: Final answer
    x = 607.76

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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.