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Finding the Fourth Proportional to 1,408.02, 1,943.06 and 778.58

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Solution

The fourth proportional to 1,408.02, 1,943.06 and 778.58 is: 1,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.02 : 1,943.06 = 778.58 : x
  2. Step 2: Convert to fraction form
    1,408.02/1,943.06 = 778.58/x
  3. Step 3: Cross multiply
    1,408.02x = 1,943.06 × 778.58
  4. Step 4: Simplify right side
    1,408.02x = 1,512,821.33
  5. Step 5: Solve for x
    x = 1,512,821.33/1,408.02
  6. Step 6: Final answer
    x = 1,074.43

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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.