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Finding the Fourth Proportional to 726.61, 1,089.53 and 264.15

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Solution

The fourth proportional to 726.61, 1,089.53 and 264.15 is: 396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.61 : 1,089.53 = 264.15 : x
  2. Step 2: Convert to fraction form
    726.61/1,089.53 = 264.15/x
  3. Step 3: Cross multiply
    726.61x = 1,089.53 × 264.15
  4. Step 4: Simplify right side
    726.61x = 287,799.35
  5. Step 5: Solve for x
    x = 287,799.35/726.61
  6. Step 6: Final answer
    x = 396.09

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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.