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Finding the Fourth Proportional to 1,368.40, 2,047.74 and 788.44

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Solution

The fourth proportional to 1,368.40, 2,047.74 and 788.44 is: 1,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.40 : 2,047.74 = 788.44 : x
  2. Step 2: Convert to fraction form
    1,368.40/2,047.74 = 788.44/x
  3. Step 3: Cross multiply
    1,368.40x = 2,047.74 × 788.44
  4. Step 4: Simplify right side
    1,368.40x = 1,614,520.13
  5. Step 5: Solve for x
    x = 1,614,520.13/1,368.40
  6. Step 6: Final answer
    x = 1,179.86

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Why These Related Problems?

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