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Finding the Fourth Proportional to 728.87, 1,091.89 and 582.93

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Solution

The fourth proportional to 728.87, 1,091.89 and 582.93 is: 873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.87 : 1,091.89 = 582.93 : x
  2. Step 2: Convert to fraction form
    728.87/1,091.89 = 582.93/x
  3. Step 3: Cross multiply
    728.87x = 1,091.89 × 582.93
  4. Step 4: Simplify right side
    728.87x = 636,495.44
  5. Step 5: Solve for x
    x = 636,495.44/728.87
  6. Step 6: Final answer
    x = 873.26

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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.