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Finding the Fourth Proportional to 726.76, 1,083.53 and 644.68

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Solution

The fourth proportional to 726.76, 1,083.53 and 644.68 is: 961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.76 : 1,083.53 = 644.68 : x
  2. Step 2: Convert to fraction form
    726.76/1,083.53 = 644.68/x
  3. Step 3: Cross multiply
    726.76x = 1,083.53 × 644.68
  4. Step 4: Simplify right side
    726.76x = 698,530.12
  5. Step 5: Solve for x
    x = 698,530.12/726.76
  6. Step 6: Final answer
    x = 961.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.