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Finding the Fourth Proportional to 726.29, 1,001.51 and 684.44

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Solution

The fourth proportional to 726.29, 1,001.51 and 684.44 is: 943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.29 : 1,001.51 = 684.44 : x
  2. Step 2: Convert to fraction form
    726.29/1,001.51 = 684.44/x
  3. Step 3: Cross multiply
    726.29x = 1,001.51 × 684.44
  4. Step 4: Simplify right side
    726.29x = 685,468.50
  5. Step 5: Solve for x
    x = 685,468.50/726.29
  6. Step 6: Final answer
    x = 943.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.