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Finding the Fourth Proportional to 958.63, 1,436.82 and 726.76

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Solution

The fourth proportional to 958.63, 1,436.82 and 726.76 is: 1,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.63 : 1,436.82 = 726.76 : x
  2. Step 2: Convert to fraction form
    958.63/1,436.82 = 726.76/x
  3. Step 3: Cross multiply
    958.63x = 1,436.82 × 726.76
  4. Step 4: Simplify right side
    958.63x = 1,044,223.30
  5. Step 5: Solve for x
    x = 1,044,223.30/958.63
  6. Step 6: Final answer
    x = 1,089.29

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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.