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Finding the Fourth Proportional to 1,408.21, 1,943.25 and 778.70

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Solution

The fourth proportional to 1,408.21, 1,943.25 and 778.70 is: 1,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.21 : 1,943.25 = 778.70 : x
  2. Step 2: Convert to fraction form
    1,408.21/1,943.25 = 778.70/x
  3. Step 3: Cross multiply
    1,408.21x = 1,943.25 × 778.70
  4. Step 4: Simplify right side
    1,408.21x = 1,513,212.18
  5. Step 5: Solve for x
    x = 1,513,212.18/1,408.21
  6. Step 6: Final answer
    x = 1,074.56

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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.