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Finding the Fourth Proportional to 982.12, 1,473.29 and 434.23

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Solution

The fourth proportional to 982.12, 1,473.29 and 434.23 is: 651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.12 : 1,473.29 = 434.23 : x
  2. Step 2: Convert to fraction form
    982.12/1,473.29 = 434.23/x
  3. Step 3: Cross multiply
    982.12x = 1,473.29 × 434.23
  4. Step 4: Simplify right side
    982.12x = 639,746.72
  5. Step 5: Solve for x
    x = 639,746.72/982.12
  6. Step 6: Final answer
    x = 651.39

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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.