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Finding the Fourth Proportional to 1,144.21, 1,716.09 and 558.63

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Solution

The fourth proportional to 1,144.21, 1,716.09 and 558.63 is: 837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.21 : 1,716.09 = 558.63 : x
  2. Step 2: Convert to fraction form
    1,144.21/1,716.09 = 558.63/x
  3. Step 3: Cross multiply
    1,144.21x = 1,716.09 × 558.63
  4. Step 4: Simplify right side
    1,144.21x = 958,659.36
  5. Step 5: Solve for x
    x = 958,659.36/1,144.21
  6. Step 6: Final answer
    x = 837.84

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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.