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Finding the Fourth Proportional to 1,054.49, 1,581.26 and 405

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Solution

The fourth proportional to 1,054.49, 1,581.26 and 405 is: 607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.49 : 1,581.26 = 405 : x
  2. Step 2: Convert to fraction form
    1,054.49/1,581.26 = 405/x
  3. Step 3: Cross multiply
    1,054.49x = 1,581.26 × 405
  4. Step 4: Simplify right side
    1,054.49x = 640,408.28
  5. Step 5: Solve for x
    x = 640,408.28/1,054.49
  6. Step 6: Final answer
    x = 607.32

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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.