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Finding the Fourth Proportional to 1,408.79, 2,114.24 and 678.85

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Solution

The fourth proportional to 1,408.79, 2,114.24 and 678.85 is: 1,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.79 : 2,114.24 = 678.85 : x
  2. Step 2: Convert to fraction form
    1,408.79/2,114.24 = 678.85/x
  3. Step 3: Cross multiply
    1,408.79x = 2,114.24 × 678.85
  4. Step 4: Simplify right side
    1,408.79x = 1,435,243.14
  5. Step 5: Solve for x
    x = 1,435,243.14/1,408.79
  6. Step 6: Final answer
    x = 1,018.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.