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Finding the Fourth Proportional to 711.58, 982.31 and 475.92

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Solution

The fourth proportional to 711.58, 982.31 and 475.92 is: 656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.58 : 982.31 = 475.92 : x
  2. Step 2: Convert to fraction form
    711.58/982.31 = 475.92/x
  3. Step 3: Cross multiply
    711.58x = 982.31 × 475.92
  4. Step 4: Simplify right side
    711.58x = 467,500.98
  5. Step 5: Solve for x
    x = 467,500.98/711.58
  6. Step 6: Final answer
    x = 656.99

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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.