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Finding the Fourth Proportional to 1,702.21, 2,551.17 and 1,178.04

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Solution

The fourth proportional to 1,702.21, 2,551.17 and 1,178.04 is: 1,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.21 : 2,551.17 = 1,178.04 : x
  2. Step 2: Convert to fraction form
    1,702.21/2,551.17 = 1,178.04/x
  3. Step 3: Cross multiply
    1,702.21x = 2,551.17 × 1,178.04
  4. Step 4: Simplify right side
    1,702.21x = 3,005,380.31
  5. Step 5: Solve for x
    x = 3,005,380.31/1,702.21
  6. Step 6: Final answer
    x = 1,765.58

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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.