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Finding the Fourth Proportional to 860.20, 1,290.30 and 726.55

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Solution

The fourth proportional to 860.20, 1,290.30 and 726.55 is: 1,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.20 : 1,290.30 = 726.55 : x
  2. Step 2: Convert to fraction form
    860.20/1,290.30 = 726.55/x
  3. Step 3: Cross multiply
    860.20x = 1,290.30 × 726.55
  4. Step 4: Simplify right side
    860.20x = 937,467.47
  5. Step 5: Solve for x
    x = 937,467.47/860.20
  6. Step 6: Final answer
    x = 1,089.83

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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.