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Finding the Fourth Proportional to 746.87, 1,119.38 and 582.84

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Solution

The fourth proportional to 746.87, 1,119.38 and 582.84 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.87 : 1,119.38 = 582.84 : x
  2. Step 2: Convert to fraction form
    746.87/1,119.38 = 582.84/x
  3. Step 3: Cross multiply
    746.87x = 1,119.38 × 582.84
  4. Step 4: Simplify right side
    746.87x = 652,416.53
  5. Step 5: Solve for x
    x = 652,416.53/746.87
  6. Step 6: Final answer
    x = 873.54

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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.