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Finding the Fourth Proportional to 688.39, 949.69 and 492.16

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Solution

The fourth proportional to 688.39, 949.69 and 492.16 is: 678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.39 : 949.69 = 492.16 : x
  2. Step 2: Convert to fraction form
    688.39/949.69 = 492.16/x
  3. Step 3: Cross multiply
    688.39x = 949.69 × 492.16
  4. Step 4: Simplify right side
    688.39x = 467,399.43
  5. Step 5: Solve for x
    x = 467,399.43/688.39
  6. Step 6: Final answer
    x = 678.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.