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Finding the Fourth Proportional to 1,429.94, 2,143.54 and 455.41

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Solution

The fourth proportional to 1,429.94, 2,143.54 and 455.41 is: 682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.94 : 2,143.54 = 455.41 : x
  2. Step 2: Convert to fraction form
    1,429.94/2,143.54 = 455.41/x
  3. Step 3: Cross multiply
    1,429.94x = 2,143.54 × 455.41
  4. Step 4: Simplify right side
    1,429.94x = 976,189.55
  5. Step 5: Solve for x
    x = 976,189.55/1,429.94
  6. Step 6: Final answer
    x = 682.68

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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.