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Finding the Fourth Proportional to 1,299.33, 1,946.82 and 932.28

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Solution

The fourth proportional to 1,299.33, 1,946.82 and 932.28 is: 1,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.33 : 1,946.82 = 932.28 : x
  2. Step 2: Convert to fraction form
    1,299.33/1,946.82 = 932.28/x
  3. Step 3: Cross multiply
    1,299.33x = 1,946.82 × 932.28
  4. Step 4: Simplify right side
    1,299.33x = 1,814,981.35
  5. Step 5: Solve for x
    x = 1,814,981.35/1,299.33
  6. Step 6: Final answer
    x = 1,396.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.