Home / 1,402.48-2,103.18-415.09

Finding the Fourth Proportional to 1,402.48, 2,103.18 and 415.09

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Solution

The fourth proportional to 1,402.48, 2,103.18 and 415.09 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.48 : 2,103.18 = 415.09 : x
  2. Step 2: Convert to fraction form
    1,402.48/2,103.18 = 415.09/x
  3. Step 3: Cross multiply
    1,402.48x = 2,103.18 × 415.09
  4. Step 4: Simplify right side
    1,402.48x = 873,008.99
  5. Step 5: Solve for x
    x = 873,008.99/1,402.48
  6. Step 6: Final answer
    x = 622.48

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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.