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Finding the Fourth Proportional to 713.34, 984.39 and 465.12

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Solution

The fourth proportional to 713.34, 984.39 and 465.12 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.34 : 984.39 = 465.12 : x
  2. Step 2: Convert to fraction form
    713.34/984.39 = 465.12/x
  3. Step 3: Cross multiply
    713.34x = 984.39 × 465.12
  4. Step 4: Simplify right side
    713.34x = 457,859.48
  5. Step 5: Solve for x
    x = 457,859.48/713.34
  6. Step 6: Final answer
    x = 641.85

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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.