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Finding the Fourth Proportional to 1,969.22, 2,953.15 and 582.19

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Solution

The fourth proportional to 1,969.22, 2,953.15 and 582.19 is: 873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.22 : 2,953.15 = 582.19 : x
  2. Step 2: Convert to fraction form
    1,969.22/2,953.15 = 582.19/x
  3. Step 3: Cross multiply
    1,969.22x = 2,953.15 × 582.19
  4. Step 4: Simplify right side
    1,969.22x = 1,719,285.56
  5. Step 5: Solve for x
    x = 1,719,285.56/1,969.22
  6. Step 6: Final answer
    x = 873.08

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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.