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Finding the Fourth Proportional to 712.81, 984.28 and 447.69

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Solution

The fourth proportional to 712.81, 984.28 and 447.69 is: 618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.81 : 984.28 = 447.69 : x
  2. Step 2: Convert to fraction form
    712.81/984.28 = 447.69/x
  3. Step 3: Cross multiply
    712.81x = 984.28 × 447.69
  4. Step 4: Simplify right side
    712.81x = 440,652.31
  5. Step 5: Solve for x
    x = 440,652.31/712.81
  6. Step 6: Final answer
    x = 618.19

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Double scale
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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.