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Finding the Fourth Proportional to 711.67, 982.10 and 416.88

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Solution

The fourth proportional to 711.67, 982.10 and 416.88 is: 575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.67 : 982.10 = 416.88 : x
  2. Step 2: Convert to fraction form
    711.67/982.10 = 416.88/x
  3. Step 3: Cross multiply
    711.67x = 982.10 × 416.88
  4. Step 4: Simplify right side
    711.67x = 409,417.85
  5. Step 5: Solve for x
    x = 409,417.85/711.67
  6. Step 6: Final answer
    x = 575.29

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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.