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Finding the Fourth Proportional to 711.68, 982 and 416.92

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Solution

The fourth proportional to 711.68, 982 and 416.92 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.68 : 982 = 416.92 : x
  2. Step 2: Convert to fraction form
    711.68/982 = 416.92/x
  3. Step 3: Cross multiply
    711.68x = 982 × 416.92
  4. Step 4: Simplify right side
    711.68x = 409,415.44
  5. Step 5: Solve for x
    x = 409,415.44/711.68
  6. Step 6: Final answer
    x = 575.28

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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.