Home / 1,149.13-1,723.70-455.97

Finding the Fourth Proportional to 1,149.13, 1,723.70 and 455.97

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Solution

The fourth proportional to 1,149.13, 1,723.70 and 455.97 is: 683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.13 : 1,723.70 = 455.97 : x
  2. Step 2: Convert to fraction form
    1,149.13/1,723.70 = 455.97/x
  3. Step 3: Cross multiply
    1,149.13x = 1,723.70 × 455.97
  4. Step 4: Simplify right side
    1,149.13x = 785,955.49
  5. Step 5: Solve for x
    x = 785,955.49/1,149.13
  6. Step 6: Final answer
    x = 683.96

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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.