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Finding the Fourth Proportional to 726.02, 1,001.89 and 415.50

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Solution

The fourth proportional to 726.02, 1,001.89 and 415.50 is: 573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.02 : 1,001.89 = 415.50 : x
  2. Step 2: Convert to fraction form
    726.02/1,001.89 = 415.50/x
  3. Step 3: Cross multiply
    726.02x = 1,001.89 × 415.50
  4. Step 4: Simplify right side
    726.02x = 416,285.30
  5. Step 5: Solve for x
    x = 416,285.30/726.02
  6. Step 6: Final answer
    x = 573.38

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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.