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Finding the Fourth Proportional to 726.41, 1,089.63 and 555.23

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Solution

The fourth proportional to 726.41, 1,089.63 and 555.23 is: 832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.41 : 1,089.63 = 555.23 : x
  2. Step 2: Convert to fraction form
    726.41/1,089.63 = 555.23/x
  3. Step 3: Cross multiply
    726.41x = 1,089.63 × 555.23
  4. Step 4: Simplify right side
    726.41x = 604,997.99
  5. Step 5: Solve for x
    x = 604,997.99/726.41
  6. Step 6: Final answer
    x = 832.86

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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.