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Finding the Fourth Proportional to 1,702.22, 2,350.42 and 1,143.18

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Solution

The fourth proportional to 1,702.22, 2,350.42 and 1,143.18 is: 1,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.22 : 2,350.42 = 1,143.18 : x
  2. Step 2: Convert to fraction form
    1,702.22/2,350.42 = 1,143.18/x
  3. Step 3: Cross multiply
    1,702.22x = 2,350.42 × 1,143.18
  4. Step 4: Simplify right side
    1,702.22x = 2,686,953.14
  5. Step 5: Solve for x
    x = 2,686,953.14/1,702.22
  6. Step 6: Final answer
    x = 1,578.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.