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Finding the Fourth Proportional to 662.57, 999.16 and 653.46

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Solution

The fourth proportional to 662.57, 999.16 and 653.46 is: 985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.57 : 999.16 = 653.46 : x
  2. Step 2: Convert to fraction form
    662.57/999.16 = 653.46/x
  3. Step 3: Cross multiply
    662.57x = 999.16 × 653.46
  4. Step 4: Simplify right side
    662.57x = 652,906.10
  5. Step 5: Solve for x
    x = 652,906.10/662.57
  6. Step 6: Final answer
    x = 985.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.