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Finding the Fourth Proportional to 726.94, 1,003.35 and 461.54

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Solution

The fourth proportional to 726.94, 1,003.35 and 461.54 is: 637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.94 : 1,003.35 = 461.54 : x
  2. Step 2: Convert to fraction form
    726.94/1,003.35 = 461.54/x
  3. Step 3: Cross multiply
    726.94x = 1,003.35 × 461.54
  4. Step 4: Simplify right side
    726.94x = 463,084.75
  5. Step 5: Solve for x
    x = 463,084.75/726.94
  6. Step 6: Final answer
    x = 637.03

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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.