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Finding the Fourth Proportional to 1,376.46, 1,898.64 and 878.58

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Solution

The fourth proportional to 1,376.46, 1,898.64 and 878.58 is: 1,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.46 : 1,898.64 = 878.58 : x
  2. Step 2: Convert to fraction form
    1,376.46/1,898.64 = 878.58/x
  3. Step 3: Cross multiply
    1,376.46x = 1,898.64 × 878.58
  4. Step 4: Simplify right side
    1,376.46x = 1,668,107.13
  5. Step 5: Solve for x
    x = 1,668,107.13/1,376.46
  6. Step 6: Final answer
    x = 1,211.88

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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.