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Finding the Fourth Proportional to 1,188.70, 1,785.78 and 702.09

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Solution

The fourth proportional to 1,188.70, 1,785.78 and 702.09 is: 1,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.70 : 1,785.78 = 702.09 : x
  2. Step 2: Convert to fraction form
    1,188.70/1,785.78 = 702.09/x
  3. Step 3: Cross multiply
    1,188.70x = 1,785.78 × 702.09
  4. Step 4: Simplify right side
    1,188.70x = 1,253,778.28
  5. Step 5: Solve for x
    x = 1,253,778.28/1,188.70
  6. Step 6: Final answer
    x = 1,054.75

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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.