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Finding the Fourth Proportional to 1,025.52, 1,538.42 and 505.55

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Solution

The fourth proportional to 1,025.52, 1,538.42 and 505.55 is: 758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.52 : 1,538.42 = 505.55 : x
  2. Step 2: Convert to fraction form
    1,025.52/1,538.42 = 505.55/x
  3. Step 3: Cross multiply
    1,025.52x = 1,538.42 × 505.55
  4. Step 4: Simplify right side
    1,025.52x = 777,738.01
  5. Step 5: Solve for x
    x = 777,738.01/1,025.52
  6. Step 6: Final answer
    x = 758.38

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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.