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Finding the Fourth Proportional to 711.48, 982.23 and 416.75

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Solution

The fourth proportional to 711.48, 982.23 and 416.75 is: 575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.48 : 982.23 = 416.75 : x
  2. Step 2: Convert to fraction form
    711.48/982.23 = 416.75/x
  3. Step 3: Cross multiply
    711.48x = 982.23 × 416.75
  4. Step 4: Simplify right side
    711.48x = 409,337.88
  5. Step 5: Solve for x
    x = 409,337.88/711.48
  6. Step 6: Final answer
    x = 575.33

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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.