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Finding the Fourth Proportional to 1,286.70, 1,930.04 and 702.28

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Solution

The fourth proportional to 1,286.70, 1,930.04 and 702.28 is: 1,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.70 : 1,930.04 = 702.28 : x
  2. Step 2: Convert to fraction form
    1,286.70/1,930.04 = 702.28/x
  3. Step 3: Cross multiply
    1,286.70x = 1,930.04 × 702.28
  4. Step 4: Simplify right side
    1,286.70x = 1,355,428.49
  5. Step 5: Solve for x
    x = 1,355,428.49/1,286.70
  6. Step 6: Final answer
    x = 1,053.41

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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.