Home / 1,151.24-1,726.96-329.58

Finding the Fourth Proportional to 1,151.24, 1,726.96 and 329.58

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Solution

The fourth proportional to 1,151.24, 1,726.96 and 329.58 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.24 : 1,726.96 = 329.58 : x
  2. Step 2: Convert to fraction form
    1,151.24/1,726.96 = 329.58/x
  3. Step 3: Cross multiply
    1,151.24x = 1,726.96 × 329.58
  4. Step 4: Simplify right side
    1,151.24x = 569,171.48
  5. Step 5: Solve for x
    x = 569,171.48/1,151.24
  6. Step 6: Final answer
    x = 494.40

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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.