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Finding the Fourth Proportional to 1,418.75, 2,128.82 and 493.90

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Solution

The fourth proportional to 1,418.75, 2,128.82 and 493.90 is: 741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.75 : 2,128.82 = 493.90 : x
  2. Step 2: Convert to fraction form
    1,418.75/2,128.82 = 493.90/x
  3. Step 3: Cross multiply
    1,418.75x = 2,128.82 × 493.90
  4. Step 4: Simplify right side
    1,418.75x = 1,051,416.41
  5. Step 5: Solve for x
    x = 1,051,416.41/1,418.75
  6. Step 6: Final answer
    x = 741.09

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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.