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Finding the Fourth Proportional to 1,584.13, 2,375.97 and 544.12

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Solution

The fourth proportional to 1,584.13, 2,375.97 and 544.12 is: 816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.13 : 2,375.97 = 544.12 : x
  2. Step 2: Convert to fraction form
    1,584.13/2,375.97 = 544.12/x
  3. Step 3: Cross multiply
    1,584.13x = 2,375.97 × 544.12
  4. Step 4: Simplify right side
    1,584.13x = 1,292,812.80
  5. Step 5: Solve for x
    x = 1,292,812.80/1,584.13
  6. Step 6: Final answer
    x = 816.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.