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Finding the Fourth Proportional to 1,408.16, 1,943.23 and 778.67

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Solution

The fourth proportional to 1,408.16, 1,943.23 and 778.67 is: 1,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.16 : 1,943.23 = 778.67 : x
  2. Step 2: Convert to fraction form
    1,408.16/1,943.23 = 778.67/x
  3. Step 3: Cross multiply
    1,408.16x = 1,943.23 × 778.67
  4. Step 4: Simplify right side
    1,408.16x = 1,513,137.82
  5. Step 5: Solve for x
    x = 1,513,137.82/1,408.16
  6. Step 6: Final answer
    x = 1,074.55

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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.