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Finding the Fourth Proportional to 726.21, 1,089.30 and 604.56

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Solution

The fourth proportional to 726.21, 1,089.30 and 604.56 is: 906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.21 : 1,089.30 = 604.56 : x
  2. Step 2: Convert to fraction form
    726.21/1,089.30 = 604.56/x
  3. Step 3: Cross multiply
    726.21x = 1,089.30 × 604.56
  4. Step 4: Simplify right side
    726.21x = 658,547.21
  5. Step 5: Solve for x
    x = 658,547.21/726.21
  6. Step 6: Final answer
    x = 906.83

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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.