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Finding the Fourth Proportional to 726.90, 1,090.33 and 179.08

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Solution

The fourth proportional to 726.90, 1,090.33 and 179.08 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.90 : 1,090.33 = 179.08 : x
  2. Step 2: Convert to fraction form
    726.90/1,090.33 = 179.08/x
  3. Step 3: Cross multiply
    726.90x = 1,090.33 × 179.08
  4. Step 4: Simplify right side
    726.90x = 195,256.30
  5. Step 5: Solve for x
    x = 195,256.30/726.90
  6. Step 6: Final answer
    x = 268.62

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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.