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Finding the Fourth Proportional to 656.27, 978.87 and 636.81

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Solution

The fourth proportional to 656.27, 978.87 and 636.81 is: 949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.27 : 978.87 = 636.81 : x
  2. Step 2: Convert to fraction form
    656.27/978.87 = 636.81/x
  3. Step 3: Cross multiply
    656.27x = 978.87 × 636.81
  4. Step 4: Simplify right side
    656.27x = 623,354.85
  5. Step 5: Solve for x
    x = 623,354.85/656.27
  6. Step 6: Final answer
    x = 949.85

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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.