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Finding the Fourth Proportional to 1,200, 1,656.06 and 702.78

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Solution

The fourth proportional to 1,200, 1,656.06 and 702.78 is: 969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200 : 1,656.06 = 702.78 : x
  2. Step 2: Convert to fraction form
    1,200/1,656.06 = 702.78/x
  3. Step 3: Cross multiply
    1,200x = 1,656.06 × 702.78
  4. Step 4: Simplify right side
    1,200x = 1,163,845.85
  5. Step 5: Solve for x
    x = 1,163,845.85/1,200
  6. Step 6: Final answer
    x = 969.87

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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.