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Finding the Fourth Proportional to 711.44, 982.09 and 478.70

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Solution

The fourth proportional to 711.44, 982.09 and 478.70 is: 660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.44 : 982.09 = 478.70 : x
  2. Step 2: Convert to fraction form
    711.44/982.09 = 478.70/x
  3. Step 3: Cross multiply
    711.44x = 982.09 × 478.70
  4. Step 4: Simplify right side
    711.44x = 470,126.48
  5. Step 5: Solve for x
    x = 470,126.48/711.44
  6. Step 6: Final answer
    x = 660.81

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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.