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Finding the Fourth Proportional to 1,396.56, 2,095.40 and 575.24

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Solution

The fourth proportional to 1,396.56, 2,095.40 and 575.24 is: 863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.56 : 2,095.40 = 575.24 : x
  2. Step 2: Convert to fraction form
    1,396.56/2,095.40 = 575.24/x
  3. Step 3: Cross multiply
    1,396.56x = 2,095.40 × 575.24
  4. Step 4: Simplify right side
    1,396.56x = 1,205,357.90
  5. Step 5: Solve for x
    x = 1,205,357.90/1,396.56
  6. Step 6: Final answer
    x = 863.09

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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.