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Finding the Fourth Proportional to 1,414.56, 1,951.65 and 890.49

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Solution

The fourth proportional to 1,414.56, 1,951.65 and 890.49 is: 1,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.56 : 1,951.65 = 890.49 : x
  2. Step 2: Convert to fraction form
    1,414.56/1,951.65 = 890.49/x
  3. Step 3: Cross multiply
    1,414.56x = 1,951.65 × 890.49
  4. Step 4: Simplify right side
    1,414.56x = 1,737,924.81
  5. Step 5: Solve for x
    x = 1,737,924.81/1,414.56
  6. Step 6: Final answer
    x = 1,228.60

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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.