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Finding the Fourth Proportional to 1,414.36, 1,951.32 and 824.77

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Solution

The fourth proportional to 1,414.36, 1,951.32 and 824.77 is: 1,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.36 : 1,951.32 = 824.77 : x
  2. Step 2: Convert to fraction form
    1,414.36/1,951.32 = 824.77/x
  3. Step 3: Cross multiply
    1,414.36x = 1,951.32 × 824.77
  4. Step 4: Simplify right side
    1,414.36x = 1,609,390.20
  5. Step 5: Solve for x
    x = 1,609,390.20/1,414.36
  6. Step 6: Final answer
    x = 1,137.89

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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.