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Finding the Fourth Proportional to 713.85, 984.80 and 465.21

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Solution

The fourth proportional to 713.85, 984.80 and 465.21 is: 641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 984.80 = 465.21 : x
  2. Step 2: Convert to fraction form
    713.85/984.80 = 465.21/x
  3. Step 3: Cross multiply
    713.85x = 984.80 × 465.21
  4. Step 4: Simplify right side
    713.85x = 458,138.81
  5. Step 5: Solve for x
    x = 458,138.81/713.85
  6. Step 6: Final answer
    x = 641.79

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1.5x scale

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.