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Finding the Fourth Proportional to 713.77, 984.02 and 477.75

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Solution

The fourth proportional to 713.77, 984.02 and 477.75 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.77 : 984.02 = 477.75 : x
  2. Step 2: Convert to fraction form
    713.77/984.02 = 477.75/x
  3. Step 3: Cross multiply
    713.77x = 984.02 × 477.75
  4. Step 4: Simplify right side
    713.77x = 470,115.56
  5. Step 5: Solve for x
    x = 470,115.56/713.77
  6. Step 6: Final answer
    x = 658.64

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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.