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Finding the Fourth Proportional to 2,707.19, 4,060.78 and 655.19

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Solution

The fourth proportional to 2,707.19, 4,060.78 and 655.19 is: 982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.19 : 4,060.78 = 655.19 : x
  2. Step 2: Convert to fraction form
    2,707.19/4,060.78 = 655.19/x
  3. Step 3: Cross multiply
    2,707.19x = 4,060.78 × 655.19
  4. Step 4: Simplify right side
    2,707.19x = 2,660,582.45
  5. Step 5: Solve for x
    x = 2,660,582.45/2,707.19
  6. Step 6: Final answer
    x = 982.78

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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.