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Finding the Fourth Proportional to 982.10, 1,470.45 and 737.75

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Solution

The fourth proportional to 982.10, 1,470.45 and 737.75 is: 1,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.10 : 1,470.45 = 737.75 : x
  2. Step 2: Convert to fraction form
    982.10/1,470.45 = 737.75/x
  3. Step 3: Cross multiply
    982.10x = 1,470.45 × 737.75
  4. Step 4: Simplify right side
    982.10x = 1,084,824.49
  5. Step 5: Solve for x
    x = 1,084,824.49/982.10
  6. Step 6: Final answer
    x = 1,104.60

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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.