Home / 1,149.52-1,723.89-418.93

Finding the Fourth Proportional to 1,149.52, 1,723.89 and 418.93

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Solution

The fourth proportional to 1,149.52, 1,723.89 and 418.93 is: 628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.52 : 1,723.89 = 418.93 : x
  2. Step 2: Convert to fraction form
    1,149.52/1,723.89 = 418.93/x
  3. Step 3: Cross multiply
    1,149.52x = 1,723.89 × 418.93
  4. Step 4: Simplify right side
    1,149.52x = 722,189.24
  5. Step 5: Solve for x
    x = 722,189.24/1,149.52
  6. Step 6: Final answer
    x = 628.25

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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.