Home / 1,740.35-2,609.91-766.19

Finding the Fourth Proportional to 1,740.35, 2,609.91 and 766.19

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Solution

The fourth proportional to 1,740.35, 2,609.91 and 766.19 is: 1,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.35 : 2,609.91 = 766.19 : x
  2. Step 2: Convert to fraction form
    1,740.35/2,609.91 = 766.19/x
  3. Step 3: Cross multiply
    1,740.35x = 2,609.91 × 766.19
  4. Step 4: Simplify right side
    1,740.35x = 1,999,673.89
  5. Step 5: Solve for x
    x = 1,999,673.89/1,740.35
  6. Step 6: Final answer
    x = 1,149.01

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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.