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Finding the Fourth Proportional to 1,284.33, 1,933.50 and 876.04

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Solution

The fourth proportional to 1,284.33, 1,933.50 and 876.04 is: 1,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.33 : 1,933.50 = 876.04 : x
  2. Step 2: Convert to fraction form
    1,284.33/1,933.50 = 876.04/x
  3. Step 3: Cross multiply
    1,284.33x = 1,933.50 × 876.04
  4. Step 4: Simplify right side
    1,284.33x = 1,693,819.84
  5. Step 5: Solve for x
    x = 1,693,819.84/1,284.33
  6. Step 6: Final answer
    x = 1,318.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.