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Finding the Fourth Proportional to 2,319.89, 3,479.94 and 676.58

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Solution

The fourth proportional to 2,319.89, 3,479.94 and 676.58 is: 1,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.89 : 3,479.94 = 676.58 : x
  2. Step 2: Convert to fraction form
    2,319.89/3,479.94 = 676.58/x
  3. Step 3: Cross multiply
    2,319.89x = 3,479.94 × 676.58
  4. Step 4: Simplify right side
    2,319.89x = 2,354,448.29
  5. Step 5: Solve for x
    x = 2,354,448.29/2,319.89
  6. Step 6: Final answer
    x = 1,014.90

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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.