Home / 1,407.43-1,942.30-777.95

Finding the Fourth Proportional to 1,407.43, 1,942.30 and 777.95

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Solution

The fourth proportional to 1,407.43, 1,942.30 and 777.95 is: 1,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.43 : 1,942.30 = 777.95 : x
  2. Step 2: Convert to fraction form
    1,407.43/1,942.30 = 777.95/x
  3. Step 3: Cross multiply
    1,407.43x = 1,942.30 × 777.95
  4. Step 4: Simplify right side
    1,407.43x = 1,511,023.94
  5. Step 5: Solve for x
    x = 1,511,023.94/1,407.43
  6. Step 6: Final answer
    x = 1,073.61

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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.