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Finding the Fourth Proportional to 726.98, 1,003.56 and 478.43

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Solution

The fourth proportional to 726.98, 1,003.56 and 478.43 is: 660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.98 : 1,003.56 = 478.43 : x
  2. Step 2: Convert to fraction form
    726.98/1,003.56 = 478.43/x
  3. Step 3: Cross multiply
    726.98x = 1,003.56 × 478.43
  4. Step 4: Simplify right side
    726.98x = 480,133.21
  5. Step 5: Solve for x
    x = 480,133.21/726.98
  6. Step 6: Final answer
    x = 660.45

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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.