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Finding the Fourth Proportional to 842.53, 1,260.41 and 728.20

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Solution

The fourth proportional to 842.53, 1,260.41 and 728.20 is: 1,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.53 : 1,260.41 = 728.20 : x
  2. Step 2: Convert to fraction form
    842.53/1,260.41 = 728.20/x
  3. Step 3: Cross multiply
    842.53x = 1,260.41 × 728.20
  4. Step 4: Simplify right side
    842.53x = 917,834.37
  5. Step 5: Solve for x
    x = 917,834.37/842.53
  6. Step 6: Final answer
    x = 1,089.38

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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.