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Finding the Fourth Proportional to 1,477.33, 2,213.90 and 819.49

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Solution

The fourth proportional to 1,477.33, 2,213.90 and 819.49 is: 1,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.33 : 2,213.90 = 819.49 : x
  2. Step 2: Convert to fraction form
    1,477.33/2,213.90 = 819.49/x
  3. Step 3: Cross multiply
    1,477.33x = 2,213.90 × 819.49
  4. Step 4: Simplify right side
    1,477.33x = 1,814,270.65
  5. Step 5: Solve for x
    x = 1,814,270.65/1,477.33
  6. Step 6: Final answer
    x = 1,228.08

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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.