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Finding the Fourth Proportional to 982.54, 1,473.99 and 434.80

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Solution

The fourth proportional to 982.54, 1,473.99 and 434.80 is: 652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.54 : 1,473.99 = 434.80 : x
  2. Step 2: Convert to fraction form
    982.54/1,473.99 = 434.80/x
  3. Step 3: Cross multiply
    982.54x = 1,473.99 × 434.80
  4. Step 4: Simplify right side
    982.54x = 640,890.85
  5. Step 5: Solve for x
    x = 640,890.85/982.54
  6. Step 6: Final answer
    x = 652.28

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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.