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Finding the Fourth Proportional to 1,739.32, 2,609.20 and 765.32

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Solution

The fourth proportional to 1,739.32, 2,609.20 and 765.32 is: 1,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.32 : 2,609.20 = 765.32 : x
  2. Step 2: Convert to fraction form
    1,739.32/2,609.20 = 765.32/x
  3. Step 3: Cross multiply
    1,739.32x = 2,609.20 × 765.32
  4. Step 4: Simplify right side
    1,739.32x = 1,996,872.94
  5. Step 5: Solve for x
    x = 1,996,872.94/1,739.32
  6. Step 6: Final answer
    x = 1,148.08

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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.