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Finding the Fourth Proportional to 982.55, 1,473.21 and 419.02

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Solution

The fourth proportional to 982.55, 1,473.21 and 419.02 is: 628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.55 : 1,473.21 = 419.02 : x
  2. Step 2: Convert to fraction form
    982.55/1,473.21 = 419.02/x
  3. Step 3: Cross multiply
    982.55x = 1,473.21 × 419.02
  4. Step 4: Simplify right side
    982.55x = 617,304.45
  5. Step 5: Solve for x
    x = 617,304.45/982.55
  6. Step 6: Final answer
    x = 628.27

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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.