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Finding the Fourth Proportional to 982.66, 1,473.46 and 434.58

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Solution

The fourth proportional to 982.66, 1,473.46 and 434.58 is: 651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.66 : 1,473.46 = 434.58 : x
  2. Step 2: Convert to fraction form
    982.66/1,473.46 = 434.58/x
  3. Step 3: Cross multiply
    982.66x = 1,473.46 × 434.58
  4. Step 4: Simplify right side
    982.66x = 640,336.25
  5. Step 5: Solve for x
    x = 640,336.25/982.66
  6. Step 6: Final answer
    x = 651.64

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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.