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Finding the Fourth Proportional to 713.68, 984.66 and 477.97

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Solution

The fourth proportional to 713.68, 984.66 and 477.97 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 984.66 = 477.97 : x
  2. Step 2: Convert to fraction form
    713.68/984.66 = 477.97/x
  3. Step 3: Cross multiply
    713.68x = 984.66 × 477.97
  4. Step 4: Simplify right side
    713.68x = 470,633.69
  5. Step 5: Solve for x
    x = 470,633.69/713.68
  6. Step 6: Final answer
    x = 659.45

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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.