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Finding the Fourth Proportional to 726.98, 1,089.82 and 264.67

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Solution

The fourth proportional to 726.98, 1,089.82 and 264.67 is: 396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.98 : 1,089.82 = 264.67 : x
  2. Step 2: Convert to fraction form
    726.98/1,089.82 = 264.67/x
  3. Step 3: Cross multiply
    726.98x = 1,089.82 × 264.67
  4. Step 4: Simplify right side
    726.98x = 288,444.35
  5. Step 5: Solve for x
    x = 288,444.35/726.98
  6. Step 6: Final answer
    x = 396.77

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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.