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Finding the Fourth Proportional to 2,320.28, 3,480.93 and 676.88

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Solution

The fourth proportional to 2,320.28, 3,480.93 and 676.88 is: 1,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.28 : 3,480.93 = 676.88 : x
  2. Step 2: Convert to fraction form
    2,320.28/3,480.93 = 676.88/x
  3. Step 3: Cross multiply
    2,320.28x = 3,480.93 × 676.88
  4. Step 4: Simplify right side
    2,320.28x = 2,356,171.90
  5. Step 5: Solve for x
    x = 2,356,171.90/2,320.28
  6. Step 6: Final answer
    x = 1,015.47

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1.5x scale

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.