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Finding the Fourth Proportional to 1,815.18, 2,722.85 and 582.49

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Solution

The fourth proportional to 1,815.18, 2,722.85 and 582.49 is: 873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.18 : 2,722.85 = 582.49 : x
  2. Step 2: Convert to fraction form
    1,815.18/2,722.85 = 582.49/x
  3. Step 3: Cross multiply
    1,815.18x = 2,722.85 × 582.49
  4. Step 4: Simplify right side
    1,815.18x = 1,586,035.57
  5. Step 5: Solve for x
    x = 1,586,035.57/1,815.18
  6. Step 6: Final answer
    x = 873.76

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1.5x scale

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.