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Finding the Fourth Proportional to 1,225.96, 1,838.85 and 404.08

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Solution

The fourth proportional to 1,225.96, 1,838.85 and 404.08 is: 606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.96 : 1,838.85 = 404.08 : x
  2. Step 2: Convert to fraction form
    1,225.96/1,838.85 = 404.08/x
  3. Step 3: Cross multiply
    1,225.96x = 1,838.85 × 404.08
  4. Step 4: Simplify right side
    1,225.96x = 743,042.51
  5. Step 5: Solve for x
    x = 743,042.51/1,225.96
  6. Step 6: Final answer
    x = 606.09

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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.