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Finding the Fourth Proportional to 1,407.86, 1,942.78 and 778.36

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Solution

The fourth proportional to 1,407.86, 1,942.78 and 778.36 is: 1,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.86 : 1,942.78 = 778.36 : x
  2. Step 2: Convert to fraction form
    1,407.86/1,942.78 = 778.36/x
  3. Step 3: Cross multiply
    1,407.86x = 1,942.78 × 778.36
  4. Step 4: Simplify right side
    1,407.86x = 1,512,182.24
  5. Step 5: Solve for x
    x = 1,512,182.24/1,407.86
  6. Step 6: Final answer
    x = 1,074.10

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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.