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Finding the Fourth Proportional to 726.13, 1,089.53 and 335.88

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Solution

The fourth proportional to 726.13, 1,089.53 and 335.88 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.13 : 1,089.53 = 335.88 : x
  2. Step 2: Convert to fraction form
    726.13/1,089.53 = 335.88/x
  3. Step 3: Cross multiply
    726.13x = 1,089.53 × 335.88
  4. Step 4: Simplify right side
    726.13x = 365,951.34
  5. Step 5: Solve for x
    x = 365,951.34/726.13
  6. Step 6: Final answer
    x = 503.97

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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.