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Finding the Fourth Proportional to 709.60, 976.96 and 673.16

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Solution

The fourth proportional to 709.60, 976.96 and 673.16 is: 926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.60 : 976.96 = 673.16 : x
  2. Step 2: Convert to fraction form
    709.60/976.96 = 673.16/x
  3. Step 3: Cross multiply
    709.60x = 976.96 × 673.16
  4. Step 4: Simplify right side
    709.60x = 657,650.39
  5. Step 5: Solve for x
    x = 657,650.39/709.60
  6. Step 6: Final answer
    x = 926.79

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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.