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Finding the Fourth Proportional to 711.63, 982.13 and 416.94

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Solution

The fourth proportional to 711.63, 982.13 and 416.94 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.63 : 982.13 = 416.94 : x
  2. Step 2: Convert to fraction form
    711.63/982.13 = 416.94/x
  3. Step 3: Cross multiply
    711.63x = 982.13 × 416.94
  4. Step 4: Simplify right side
    711.63x = 409,487.20
  5. Step 5: Solve for x
    x = 409,487.20/711.63
  6. Step 6: Final answer
    x = 575.42

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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.