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Finding the Fourth Proportional to 1,455.28, 2,182.28 and 415.05

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Solution

The fourth proportional to 1,455.28, 2,182.28 and 415.05 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.28 : 2,182.28 = 415.05 : x
  2. Step 2: Convert to fraction form
    1,455.28/2,182.28 = 415.05/x
  3. Step 3: Cross multiply
    1,455.28x = 2,182.28 × 415.05
  4. Step 4: Simplify right side
    1,455.28x = 905,747.39
  5. Step 5: Solve for x
    x = 905,747.39/1,455.28
  6. Step 6: Final answer
    x = 622.39

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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.