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Finding the Fourth Proportional to 677.43, 934.97 and 411.98

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Solution

The fourth proportional to 677.43, 934.97 and 411.98 is: 568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.43 : 934.97 = 411.98 : x
  2. Step 2: Convert to fraction form
    677.43/934.97 = 411.98/x
  3. Step 3: Cross multiply
    677.43x = 934.97 × 411.98
  4. Step 4: Simplify right side
    677.43x = 385,182.21
  5. Step 5: Solve for x
    x = 385,182.21/677.43
  6. Step 6: Final answer
    x = 568.59

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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.