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Finding the Fourth Proportional to 982.62, 1,355.06 and 664.29

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Solution

The fourth proportional to 982.62, 1,355.06 and 664.29 is: 916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.62 : 1,355.06 = 664.29 : x
  2. Step 2: Convert to fraction form
    982.62/1,355.06 = 664.29/x
  3. Step 3: Cross multiply
    982.62x = 1,355.06 × 664.29
  4. Step 4: Simplify right side
    982.62x = 900,149.49
  5. Step 5: Solve for x
    x = 900,149.49/982.62
  6. Step 6: Final answer
    x = 916.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.