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Finding the Fourth Proportional to 711.02, 980.97 and 431.11

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Solution

The fourth proportional to 711.02, 980.97 and 431.11 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.02 : 980.97 = 431.11 : x
  2. Step 2: Convert to fraction form
    711.02/980.97 = 431.11/x
  3. Step 3: Cross multiply
    711.02x = 980.97 × 431.11
  4. Step 4: Simplify right side
    711.02x = 422,905.98
  5. Step 5: Solve for x
    x = 422,905.98/711.02
  6. Step 6: Final answer
    x = 594.79

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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.