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Finding the Fourth Proportional to 726.30, 1,089.86 and 401.63

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Solution

The fourth proportional to 726.30, 1,089.86 and 401.63 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.30 : 1,089.86 = 401.63 : x
  2. Step 2: Convert to fraction form
    726.30/1,089.86 = 401.63/x
  3. Step 3: Cross multiply
    726.30x = 1,089.86 × 401.63
  4. Step 4: Simplify right side
    726.30x = 437,713.01
  5. Step 5: Solve for x
    x = 437,713.01/726.30
  6. Step 6: Final answer
    x = 602.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.