Home / 1,684.09-2,527.35-710.20

Finding the Fourth Proportional to 1,684.09, 2,527.35 and 710.20

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Solution

The fourth proportional to 1,684.09, 2,527.35 and 710.20 is: 1,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.09 : 2,527.35 = 710.20 : x
  2. Step 2: Convert to fraction form
    1,684.09/2,527.35 = 710.20/x
  3. Step 3: Cross multiply
    1,684.09x = 2,527.35 × 710.20
  4. Step 4: Simplify right side
    1,684.09x = 1,794,923.97
  5. Step 5: Solve for x
    x = 1,794,923.97/1,684.09
  6. Step 6: Final answer
    x = 1,065.81

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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.