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Finding the Fourth Proportional to 662.96, 989.02 and 654.32

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Solution

The fourth proportional to 662.96, 989.02 and 654.32 is: 976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 989.02 = 654.32 : x
  2. Step 2: Convert to fraction form
    662.96/989.02 = 654.32/x
  3. Step 3: Cross multiply
    662.96x = 989.02 × 654.32
  4. Step 4: Simplify right side
    662.96x = 647,135.57
  5. Step 5: Solve for x
    x = 647,135.57/662.96
  6. Step 6: Final answer
    x = 976.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.