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Finding the Fourth Proportional to 982.04, 1,472.74 and 434.21

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Solution

The fourth proportional to 982.04, 1,472.74 and 434.21 is: 651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.04 : 1,472.74 = 434.21 : x
  2. Step 2: Convert to fraction form
    982.04/1,472.74 = 434.21/x
  3. Step 3: Cross multiply
    982.04x = 1,472.74 × 434.21
  4. Step 4: Simplify right side
    982.04x = 639,469.99
  5. Step 5: Solve for x
    x = 639,469.99/982.04
  6. Step 6: Final answer
    x = 651.17

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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.