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Finding the Fourth Proportional to 2,320.35, 3,480.75 and 676.86

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Solution

The fourth proportional to 2,320.35, 3,480.75 and 676.86 is: 1,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.35 : 3,480.75 = 676.86 : x
  2. Step 2: Convert to fraction form
    2,320.35/3,480.75 = 676.86/x
  3. Step 3: Cross multiply
    2,320.35x = 3,480.75 × 676.86
  4. Step 4: Simplify right side
    2,320.35x = 2,355,980.45
  5. Step 5: Solve for x
    x = 2,355,980.45/2,320.35
  6. Step 6: Final answer
    x = 1,015.36

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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.