Home / 1,740.04-2,609.34-765.52

Finding the Fourth Proportional to 1,740.04, 2,609.34 and 765.52

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Solution

The fourth proportional to 1,740.04, 2,609.34 and 765.52 is: 1,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.04 : 2,609.34 = 765.52 : x
  2. Step 2: Convert to fraction form
    1,740.04/2,609.34 = 765.52/x
  3. Step 3: Cross multiply
    1,740.04x = 2,609.34 × 765.52
  4. Step 4: Simplify right side
    1,740.04x = 1,997,501.96
  5. Step 5: Solve for x
    x = 1,997,501.96/1,740.04
  6. Step 6: Final answer
    x = 1,147.96

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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.