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Finding the Fourth Proportional to 726.21, 1,086.48 and 623.61

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Solution

The fourth proportional to 726.21, 1,086.48 and 623.61 is: 932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.21 : 1,086.48 = 623.61 : x
  2. Step 2: Convert to fraction form
    726.21/1,086.48 = 623.61/x
  3. Step 3: Cross multiply
    726.21x = 1,086.48 × 623.61
  4. Step 4: Simplify right side
    726.21x = 677,539.79
  5. Step 5: Solve for x
    x = 677,539.79/726.21
  6. Step 6: Final answer
    x = 932.98

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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.