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Finding the Fourth Proportional to 982.23, 1,473.84 and 434.81

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Solution

The fourth proportional to 982.23, 1,473.84 and 434.81 is: 652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.23 : 1,473.84 = 434.81 : x
  2. Step 2: Convert to fraction form
    982.23/1,473.84 = 434.81/x
  3. Step 3: Cross multiply
    982.23x = 1,473.84 × 434.81
  4. Step 4: Simplify right side
    982.23x = 640,833.00
  5. Step 5: Solve for x
    x = 640,833.00/982.23
  6. Step 6: Final answer
    x = 652.43

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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.