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Finding the Fourth Proportional to 1,407.82, 1,942.62 and 778.26

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Solution

The fourth proportional to 1,407.82, 1,942.62 and 778.26 is: 1,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.82 : 1,942.62 = 778.26 : x
  2. Step 2: Convert to fraction form
    1,407.82/1,942.62 = 778.26/x
  3. Step 3: Cross multiply
    1,407.82x = 1,942.62 × 778.26
  4. Step 4: Simplify right side
    1,407.82x = 1,511,873.64
  5. Step 5: Solve for x
    x = 1,511,873.64/1,407.82
  6. Step 6: Final answer
    x = 1,073.91

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1.5x scale

Why These Related Problems?

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