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Finding the Fourth Proportional to 711.44, 982 and 431.68

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Solution

The fourth proportional to 711.44, 982 and 431.68 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.44 : 982 = 431.68 : x
  2. Step 2: Convert to fraction form
    711.44/982 = 431.68/x
  3. Step 3: Cross multiply
    711.44x = 982 × 431.68
  4. Step 4: Simplify right side
    711.44x = 423,909.76
  5. Step 5: Solve for x
    x = 423,909.76/711.44
  6. Step 6: Final answer
    x = 595.85

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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.