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Finding the Fourth Proportional to 1,209.83, 1,669.75 and 878.13

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Solution

The fourth proportional to 1,209.83, 1,669.75 and 878.13 is: 1,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.83 : 1,669.75 = 878.13 : x
  2. Step 2: Convert to fraction form
    1,209.83/1,669.75 = 878.13/x
  3. Step 3: Cross multiply
    1,209.83x = 1,669.75 × 878.13
  4. Step 4: Simplify right side
    1,209.83x = 1,466,255.37
  5. Step 5: Solve for x
    x = 1,466,255.37/1,209.83
  6. Step 6: Final answer
    x = 1,211.96

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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.