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Finding the Fourth Proportional to 1,425.83, 2,138.97 and 452.16

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Solution

The fourth proportional to 1,425.83, 2,138.97 and 452.16 is: 678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.83 : 2,138.97 = 452.16 : x
  2. Step 2: Convert to fraction form
    1,425.83/2,138.97 = 452.16/x
  3. Step 3: Cross multiply
    1,425.83x = 2,138.97 × 452.16
  4. Step 4: Simplify right side
    1,425.83x = 967,156.68
  5. Step 5: Solve for x
    x = 967,156.68/1,425.83
  6. Step 6: Final answer
    x = 678.31

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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.