Home / 1,455.23-2,182.98-415.22

Finding the Fourth Proportional to 1,455.23, 2,182.98 and 415.22

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Solution

The fourth proportional to 1,455.23, 2,182.98 and 415.22 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.23 : 2,182.98 = 415.22 : x
  2. Step 2: Convert to fraction form
    1,455.23/2,182.98 = 415.22/x
  3. Step 3: Cross multiply
    1,455.23x = 2,182.98 × 415.22
  4. Step 4: Simplify right side
    1,455.23x = 906,405.26
  5. Step 5: Solve for x
    x = 906,405.26/1,455.23
  6. Step 6: Final answer
    x = 622.86

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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.