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Finding the Fourth Proportional to 726.05, 1,001.40 and 538.94

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Solution

The fourth proportional to 726.05, 1,001.40 and 538.94 is: 743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.05 : 1,001.40 = 538.94 : x
  2. Step 2: Convert to fraction form
    726.05/1,001.40 = 538.94/x
  3. Step 3: Cross multiply
    726.05x = 1,001.40 × 538.94
  4. Step 4: Simplify right side
    726.05x = 539,689.51
  5. Step 5: Solve for x
    x = 539,689.51/726.05
  6. Step 6: Final answer
    x = 743.33

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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.