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Finding the Fourth Proportional to 654.60, 982.06 and 462.60

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Solution

The fourth proportional to 654.60, 982.06 and 462.60 is: 694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 982.06 = 462.60 : x
  2. Step 2: Convert to fraction form
    654.60/982.06 = 462.60/x
  3. Step 3: Cross multiply
    654.60x = 982.06 × 462.60
  4. Step 4: Simplify right side
    654.60x = 454,300.96
  5. Step 5: Solve for x
    x = 454,300.96/654.60
  6. Step 6: Final answer
    x = 694.01

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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.