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Finding the Fourth Proportional to 1,429.34, 2,144.34 and 403.34

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Solution

The fourth proportional to 1,429.34, 2,144.34 and 403.34 is: 605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.34 : 2,144.34 = 403.34 : x
  2. Step 2: Convert to fraction form
    1,429.34/2,144.34 = 403.34/x
  3. Step 3: Cross multiply
    1,429.34x = 2,144.34 × 403.34
  4. Step 4: Simplify right side
    1,429.34x = 864,887.37
  5. Step 5: Solve for x
    x = 864,887.37/1,429.34
  6. Step 6: Final answer
    x = 605.10

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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.