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Finding the Fourth Proportional to 1,407.57, 1,942.42 and 778.15

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Solution

The fourth proportional to 1,407.57, 1,942.42 and 778.15 is: 1,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.57 : 1,942.42 = 778.15 : x
  2. Step 2: Convert to fraction form
    1,407.57/1,942.42 = 778.15/x
  3. Step 3: Cross multiply
    1,407.57x = 1,942.42 × 778.15
  4. Step 4: Simplify right side
    1,407.57x = 1,511,494.12
  5. Step 5: Solve for x
    x = 1,511,494.12/1,407.57
  6. Step 6: Final answer
    x = 1,073.83

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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.