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Finding the Fourth Proportional to 2,639.58, 3,959.62 and 765.52

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Solution

The fourth proportional to 2,639.58, 3,959.62 and 765.52 is: 1,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.58 : 3,959.62 = 765.52 : x
  2. Step 2: Convert to fraction form
    2,639.58/3,959.62 = 765.52/x
  3. Step 3: Cross multiply
    2,639.58x = 3,959.62 × 765.52
  4. Step 4: Simplify right side
    2,639.58x = 3,031,168.30
  5. Step 5: Solve for x
    x = 3,031,168.30/2,639.58
  6. Step 6: Final answer
    x = 1,148.35

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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.