Home / 1,451.09-2,176.93-709.97

Finding the Fourth Proportional to 1,451.09, 2,176.93 and 709.97

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Solution

The fourth proportional to 1,451.09, 2,176.93 and 709.97 is: 1,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.09 : 2,176.93 = 709.97 : x
  2. Step 2: Convert to fraction form
    1,451.09/2,176.93 = 709.97/x
  3. Step 3: Cross multiply
    1,451.09x = 2,176.93 × 709.97
  4. Step 4: Simplify right side
    1,451.09x = 1,545,542.33
  5. Step 5: Solve for x
    x = 1,545,542.33/1,451.09
  6. Step 6: Final answer
    x = 1,065.09

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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.