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Finding the Fourth Proportional to 982.64, 1,356.40 and 668.40

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Solution

The fourth proportional to 982.64, 1,356.40 and 668.40 is: 922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.64 : 1,356.40 = 668.40 : x
  2. Step 2: Convert to fraction form
    982.64/1,356.40 = 668.40/x
  3. Step 3: Cross multiply
    982.64x = 1,356.40 × 668.40
  4. Step 4: Simplify right side
    982.64x = 906,617.76
  5. Step 5: Solve for x
    x = 906,617.76/982.64
  6. Step 6: Final answer
    x = 922.63

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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.