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Finding the Fourth Proportional to 713.20, 984.12 and 464.44

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Solution

The fourth proportional to 713.20, 984.12 and 464.44 is: 640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.20 : 984.12 = 464.44 : x
  2. Step 2: Convert to fraction form
    713.20/984.12 = 464.44/x
  3. Step 3: Cross multiply
    713.20x = 984.12 × 464.44
  4. Step 4: Simplify right side
    713.20x = 457,064.69
  5. Step 5: Solve for x
    x = 457,064.69/713.20
  6. Step 6: Final answer
    x = 640.86

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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.