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Finding the Fourth Proportional to 982.15, 1,353.96 and 702.28

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Solution

The fourth proportional to 982.15, 1,353.96 and 702.28 is: 968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.15 : 1,353.96 = 702.28 : x
  2. Step 2: Convert to fraction form
    982.15/1,353.96 = 702.28/x
  3. Step 3: Cross multiply
    982.15x = 1,353.96 × 702.28
  4. Step 4: Simplify right side
    982.15x = 950,859.03
  5. Step 5: Solve for x
    x = 950,859.03/982.15
  6. Step 6: Final answer
    x = 968.15

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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.