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Finding the Fourth Proportional to 716.38, 981.20 and 674.35

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Solution

The fourth proportional to 716.38, 981.20 and 674.35 is: 923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.38 : 981.20 = 674.35 : x
  2. Step 2: Convert to fraction form
    716.38/981.20 = 674.35/x
  3. Step 3: Cross multiply
    716.38x = 981.20 × 674.35
  4. Step 4: Simplify right side
    716.38x = 661,674.67
  5. Step 5: Solve for x
    x = 661,674.67/716.38
  6. Step 6: Final answer
    x = 923.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.