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Finding the Fourth Proportional to 713.50, 984.29 and 464.73

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Solution

The fourth proportional to 713.50, 984.29 and 464.73 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 984.29 = 464.73 : x
  2. Step 2: Convert to fraction form
    713.50/984.29 = 464.73/x
  3. Step 3: Cross multiply
    713.50x = 984.29 × 464.73
  4. Step 4: Simplify right side
    713.50x = 457,429.77
  5. Step 5: Solve for x
    x = 457,429.77/713.50
  6. Step 6: Final answer
    x = 641.11

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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.