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Finding the Fourth Proportional to 1,442.64, 2,163.65 and 505.47

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Solution

The fourth proportional to 1,442.64, 2,163.65 and 505.47 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.64 : 2,163.65 = 505.47 : x
  2. Step 2: Convert to fraction form
    1,442.64/2,163.65 = 505.47/x
  3. Step 3: Cross multiply
    1,442.64x = 2,163.65 × 505.47
  4. Step 4: Simplify right side
    1,442.64x = 1,093,665.75
  5. Step 5: Solve for x
    x = 1,093,665.75/1,442.64
  6. Step 6: Final answer
    x = 758.10

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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.