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Finding the Fourth Proportional to 712.96, 984.17 and 464.49

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Solution

The fourth proportional to 712.96, 984.17 and 464.49 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 984.17 = 464.49 : x
  2. Step 2: Convert to fraction form
    712.96/984.17 = 464.49/x
  3. Step 3: Cross multiply
    712.96x = 984.17 × 464.49
  4. Step 4: Simplify right side
    712.96x = 457,138.28
  5. Step 5: Solve for x
    x = 457,138.28/712.96
  6. Step 6: Final answer
    x = 641.19

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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.