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Finding the Fourth Proportional to 3,105.57, 4,658.31 and 765.60

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Solution

The fourth proportional to 3,105.57, 4,658.31 and 765.60 is: 1,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.57 : 4,658.31 = 765.60 : x
  2. Step 2: Convert to fraction form
    3,105.57/4,658.31 = 765.60/x
  3. Step 3: Cross multiply
    3,105.57x = 4,658.31 × 765.60
  4. Step 4: Simplify right side
    3,105.57x = 3,566,402.14
  5. Step 5: Solve for x
    x = 3,566,402.14/3,105.57
  6. Step 6: Final answer
    x = 1,148.39

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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.