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Finding the Fourth Proportional to 726.53, 1,089.45 and 263.98

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Solution

The fourth proportional to 726.53, 1,089.45 and 263.98 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.53 : 1,089.45 = 263.98 : x
  2. Step 2: Convert to fraction form
    726.53/1,089.45 = 263.98/x
  3. Step 3: Cross multiply
    726.53x = 1,089.45 × 263.98
  4. Step 4: Simplify right side
    726.53x = 287,591.69
  5. Step 5: Solve for x
    x = 287,591.69/726.53
  6. Step 6: Final answer
    x = 395.85

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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.