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Finding the Fourth Proportional to 712.96, 984.29 and 464.15

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Solution

The fourth proportional to 712.96, 984.29 and 464.15 is: 640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 984.29 = 464.15 : x
  2. Step 2: Convert to fraction form
    712.96/984.29 = 464.15/x
  3. Step 3: Cross multiply
    712.96x = 984.29 × 464.15
  4. Step 4: Simplify right side
    712.96x = 456,858.34
  5. Step 5: Solve for x
    x = 456,858.34/712.96
  6. Step 6: Final answer
    x = 640.79

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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.