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Finding the Fourth Proportional to 1,189.25, 1,784.10 and 842.70

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Solution

The fourth proportional to 1,189.25, 1,784.10 and 842.70 is: 1,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.25 : 1,784.10 = 842.70 : x
  2. Step 2: Convert to fraction form
    1,189.25/1,784.10 = 842.70/x
  3. Step 3: Cross multiply
    1,189.25x = 1,784.10 × 842.70
  4. Step 4: Simplify right side
    1,189.25x = 1,503,461.07
  5. Step 5: Solve for x
    x = 1,503,461.07/1,189.25
  6. Step 6: Final answer
    x = 1,264.21

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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.