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Finding the Fourth Proportional to 982.16, 1,472.72 and 434.09

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Solution

The fourth proportional to 982.16, 1,472.72 and 434.09 is: 650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.16 : 1,472.72 = 434.09 : x
  2. Step 2: Convert to fraction form
    982.16/1,472.72 = 434.09/x
  3. Step 3: Cross multiply
    982.16x = 1,472.72 × 434.09
  4. Step 4: Simplify right side
    982.16x = 639,283.49
  5. Step 5: Solve for x
    x = 639,283.49/982.16
  6. Step 6: Final answer
    x = 650.90

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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.