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Finding the Fourth Proportional to 661.54, 993.12 and 650.56

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Solution

The fourth proportional to 661.54, 993.12 and 650.56 is: 976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.54 : 993.12 = 650.56 : x
  2. Step 2: Convert to fraction form
    661.54/993.12 = 650.56/x
  3. Step 3: Cross multiply
    661.54x = 993.12 × 650.56
  4. Step 4: Simplify right side
    661.54x = 646,084.15
  5. Step 5: Solve for x
    x = 646,084.15/661.54
  6. Step 6: Final answer
    x = 976.64

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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.