Home / 1,455.30-2,182.62-415.29

Finding the Fourth Proportional to 1,455.30, 2,182.62 and 415.29

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Solution

The fourth proportional to 1,455.30, 2,182.62 and 415.29 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.30 : 2,182.62 = 415.29 : x
  2. Step 2: Convert to fraction form
    1,455.30/2,182.62 = 415.29/x
  3. Step 3: Cross multiply
    1,455.30x = 2,182.62 × 415.29
  4. Step 4: Simplify right side
    1,455.30x = 906,420.26
  5. Step 5: Solve for x
    x = 906,420.26/1,455.30
  6. Step 6: Final answer
    x = 622.84

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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.