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Finding the Fourth Proportional to 1,739.60, 2,609.74 and 765.70

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Solution

The fourth proportional to 1,739.60, 2,609.74 and 765.70 is: 1,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.60 : 2,609.74 = 765.70 : x
  2. Step 2: Convert to fraction form
    1,739.60/2,609.74 = 765.70/x
  3. Step 3: Cross multiply
    1,739.60x = 2,609.74 × 765.70
  4. Step 4: Simplify right side
    1,739.60x = 1,998,289.18
  5. Step 5: Solve for x
    x = 1,998,289.18/1,739.60
  6. Step 6: Final answer
    x = 1,148.71

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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.