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Finding the Fourth Proportional to 726.05, 1,083.46 and 702.38

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Solution

The fourth proportional to 726.05, 1,083.46 and 702.38 is: 1,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.05 : 1,083.46 = 702.38 : x
  2. Step 2: Convert to fraction form
    726.05/1,083.46 = 702.38/x
  3. Step 3: Cross multiply
    726.05x = 1,083.46 × 702.38
  4. Step 4: Simplify right side
    726.05x = 760,997.12
  5. Step 5: Solve for x
    x = 760,997.12/726.05
  6. Step 6: Final answer
    x = 1,048.13

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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.