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Finding the Fourth Proportional to 702.14, 968.78 and 391.64

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Solution

The fourth proportional to 702.14, 968.78 and 391.64 is: 540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.14 : 968.78 = 391.64 : x
  2. Step 2: Convert to fraction form
    702.14/968.78 = 391.64/x
  3. Step 3: Cross multiply
    702.14x = 968.78 × 391.64
  4. Step 4: Simplify right side
    702.14x = 379,413.00
  5. Step 5: Solve for x
    x = 379,413.00/702.14
  6. Step 6: Final answer
    x = 540.37

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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.