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Finding the Fourth Proportional to 1,212.10, 1,673.34 and 815.85

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Solution

The fourth proportional to 1,212.10, 1,673.34 and 815.85 is: 1,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.10 : 1,673.34 = 815.85 : x
  2. Step 2: Convert to fraction form
    1,212.10/1,673.34 = 815.85/x
  3. Step 3: Cross multiply
    1,212.10x = 1,673.34 × 815.85
  4. Step 4: Simplify right side
    1,212.10x = 1,365,192.40
  5. Step 5: Solve for x
    x = 1,365,192.40/1,212.10
  6. Step 6: Final answer
    x = 1,126.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.