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Finding the Fourth Proportional to 1,143.83, 1,716.23 and 559.35

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Solution

The fourth proportional to 1,143.83, 1,716.23 and 559.35 is: 839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.83 : 1,716.23 = 559.35 : x
  2. Step 2: Convert to fraction form
    1,143.83/1,716.23 = 559.35/x
  3. Step 3: Cross multiply
    1,143.83x = 1,716.23 × 559.35
  4. Step 4: Simplify right side
    1,143.83x = 959,973.25
  5. Step 5: Solve for x
    x = 959,973.25/1,143.83
  6. Step 6: Final answer
    x = 839.26

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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.