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Finding the Fourth Proportional to 982.49, 1,473.81 and 397.55

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Solution

The fourth proportional to 982.49, 1,473.81 and 397.55 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.49 : 1,473.81 = 397.55 : x
  2. Step 2: Convert to fraction form
    982.49/1,473.81 = 397.55/x
  3. Step 3: Cross multiply
    982.49x = 1,473.81 × 397.55
  4. Step 4: Simplify right side
    982.49x = 585,913.17
  5. Step 5: Solve for x
    x = 585,913.17/982.49
  6. Step 6: Final answer
    x = 596.36

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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.