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Finding the Fourth Proportional to 1,025.80, 1,539 and 295.38

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Solution

The fourth proportional to 1,025.80, 1,539 and 295.38 is: 443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.80 : 1,539 = 295.38 : x
  2. Step 2: Convert to fraction form
    1,025.80/1,539 = 295.38/x
  3. Step 3: Cross multiply
    1,025.80x = 1,539 × 295.38
  4. Step 4: Simplify right side
    1,025.80x = 454,589.82
  5. Step 5: Solve for x
    x = 454,589.82/1,025.80
  6. Step 6: Final answer
    x = 443.16

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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.