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Finding the Fourth Proportional to 726.03, 1,001.67 and 431.29

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Solution

The fourth proportional to 726.03, 1,001.67 and 431.29 is: 595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.03 : 1,001.67 = 431.29 : x
  2. Step 2: Convert to fraction form
    726.03/1,001.67 = 431.29/x
  3. Step 3: Cross multiply
    726.03x = 1,001.67 × 431.29
  4. Step 4: Simplify right side
    726.03x = 432,009.89
  5. Step 5: Solve for x
    x = 432,009.89/726.03
  6. Step 6: Final answer
    x = 595.03

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