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Finding the Fourth Proportional to 1,150.83, 1,726.54 and 329.17

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Solution

The fourth proportional to 1,150.83, 1,726.54 and 329.17 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.83 : 1,726.54 = 329.17 : x
  2. Step 2: Convert to fraction form
    1,150.83/1,726.54 = 329.17/x
  3. Step 3: Cross multiply
    1,150.83x = 1,726.54 × 329.17
  4. Step 4: Simplify right side
    1,150.83x = 568,327.84
  5. Step 5: Solve for x
    x = 568,327.84/1,150.83
  6. Step 6: Final answer
    x = 493.84

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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.